Volume of a sphere – definition formula and example Start studying Volume of Cylinders, Cones, and Spheres Assignment and Quiz. Learn vocabulary, terms, and more with flashcards, games, and other study tools.

## How do I find the volume of a sphere in terms Socratic

SOLUTION The volume V of a sphere is a function of its. How does this sphere calculator work? The algorithm of this sphere calculator requires only one dimension to be given and that can be the radius, diameter, area or the volume; while the formulas applied are explained below:, 2018-10-16 · 1) The diameter of the hole is zero. This means that the entire sphere is left and the volume remaining is 4/3 pi R^3 where R = 6 in/2 = 3 in, volume = 36π in^3. However, it must also be true in the case where the diameter of the sphere is large and the diameter of the hole approaches the diameter of ….

2019-10-30 · In geometry, a spherical cap, spherical dome, or spherical segment of one base is a portion of a sphere cut off by a plane. If the plane passes through the center of the sphere, so that the height of the cap is equal to the radius of the sphere, the spherical cap is called a hemisphere. Volume of a sphere. What’s a sphere and how do you work out its volume? Example calculations including the volume of a ping pong, soccer and tennis ball. Volume of a sphere. Want to know how to work out the volume of a sphere? Just read on! Definition of sphere.

Volume of a sphere. The volume formula for a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3. Visual on the figure below: Same as a circle, you only need one measurement of the sphere: its diameter or its radius. Volume of a cone Volume of a sphere. The volume formula for a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3. Visual on the figure below: Same as a circle, you only need one measurement of the sphere: its diameter or its radius. Volume of a cone

The volume v of a sphere in terms of pi is v = 4/3pir^3 why does it need to be multiplied by 4/3? the formula was based from calculus. Since the question is under pre-calculus, best accept it … 2019-10-30 · In geometry, a spherical cap, spherical dome, or spherical segment of one base is a portion of a sphere cut off by a plane. If the plane passes through the center of the sphere, so that the height of the cap is equal to the radius of the sphere, the spherical cap is called a hemisphere.

V=4/3 (pi) (r^3) By definition, radius is a half of diameter. r=D/2 Replace radius with the equation above. V=(4/3) (pi) ((D^3)/(2^3)) V=(4/3) (pi) ((D^3)/8) V=(4/24 2019-10-23 · Sphere Volume Definition. The Sphere Volume Calculator will instantly calculate the volume of any sphere if you enter in the radius of the sphere. A sphere is a perfectly round object. The most common example of a sphere is – you guessed it – a ball! Basketballs, baseballs, and volleyballs are all examples of close to perfect spheres.

V=4/3 (pi) (r^3) By definition, radius is a half of diameter. r=D/2 Replace radius with the equation above. V=(4/3) (pi) ((D^3)/(2^3)) V=(4/3) (pi) ((D^3)/8) V=(4/24 2018-10-16 · 1) The diameter of the hole is zero. This means that the entire sphere is left and the volume remaining is 4/3 pi R^3 where R = 6 in/2 = 3 in, volume = 36π in^3. However, it must also be true in the case where the diameter of the sphere is large and the diameter of the hole approaches the diameter of …

2017-11-2 · What is the volume of a sphere having a diameter of 6 cm? A) 113 cm cubed. B) 247 cm cubed. C) 485 cm cubed. D) 678 cm cubed 2004-3-31 · That's the formula for the volume of a sphere in terms of the diameter. Now just solve for d

The volume v of a sphere in terms of pi is v = 4/3pir^3 why does it need to be multiplied by 4/3? the formula was based from calculus. Since the question is under pre-calculus, best accept it … Volume of a sphere. What’s a sphere and how do you work out its volume? Example calculations including the volume of a ping pong, soccer and tennis ball. Volume of a sphere. Want to know how to work out the volume of a sphere? Just read on! Definition of sphere.

How does this sphere calculator work? The algorithm of this sphere calculator requires only one dimension to be given and that can be the radius, diameter, area or the volume; while the formulas applied are explained below: 2019-10-28 · Volume of Sphere. This is a very The formula above will give you an answer in terms of diameter. There is no need for a diameter calculator because all you have to do is to find radius and multiply that by 2 to find the diameter. As you can see, the diameter is twice the radius. If you have the volume of a liquid sphere, and you need to

2019-10-28 · A sphere is a three dimensional version of a circle, like a basketball or a marble. The definition of a sphere is "every point that is the same distance from a single point called the center." In order to calculate the surface area and volume of a sphere we first need to understand a few terms the geometric solid generated by revolving a circle about its diameter. A sphere is the locus of points in space at a distance not greater than a specified distance R from a fixed point. The fixed point is called the center of the sphere, and R is known as the sphere’s radius. The volume of a sphere is V = 4πR 3 /3. The surface of a sphere is also called a sphere; its area is S = 4πR 2.

The volume represents the space enclosed by the object. The formula for the volume of a sphere is 4/3 times pi times the radius cubed. Cubing a number means multiplying it by itself three times, in this case, the radius times the radius times the radius. To find the volume in terms of pi, leave pi in the formula rather than converting it to 3.14. The radius of a sphere hides inside its absolute roundness. A sphere's radius is the length from the sphere's center to any point on its surface. The radius is an identifying trait, and from it other measurements of the sphere can be calculated, including its …

### Sphere Volume Calculator Calculate the Volume of a Sphere

How to find the volume of a sphere using the diameter. 2019-10-30 · Volume of a Sphere A sphere is a set of points in space that are a given distance r from the center. The volume of a 3 -dimensional solid is the amount of space it occupies.Volume is measured in cubic units( in 3 , ft 3 , cm 3 , m 3 , et cetera).Be sure that all of the measurements are in the same unit before computing the volume., Volume of a Sphere in Terms of Pi (Radius/Diameter Given) Worksheets. Volume of a Sphere (In Terms of Pi) Worksheet 1 – This worksheet features images of 12 spheres. The radius or diameter of each sphere is provided, and you must calculate the volume in terms of Pi. Volume of a Sphere (In Terms of Pi) Worksheet 1 RTF.

### Volume of Sphere Peter Vis

Sphere Volume Calculator CalcuNATION. Find the volume of a sphere with diameter 12 units. 904.8 cubic units. Find the volume of a sphere with diameter 6 mm. 113.1 cubic millimeters. Surface Area and Volume of Spheres - 12 Terms. Georgina_Leach. Surface Area and Volume of Spheres - Surface Area and Volume Unit 10 Terms. https://en.m.wikipedia.org/wiki/Oblate_sphere The maximum straight distance through the center of a sphere is known as the diameter of the sphere. The diameter is twice the radius. The following figure gives the formula for the volume of sphere. Scroll down the page for examples and solutions. How to find the volume of a sphere? The volume of a sphere is equal to four-thirds of the product.

Let's call that V We know that the volume of a sphere is 4/3 Pi x r^3 So the cube root of 3v/4Pi is the radius, double it and you have the diameter. OR Volume of sphere is 1/6 Pixd^3 so 6V/Pi is Volume of a sphere formula. The volume of a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3.Visual on the figure below: Since in most practical situations you know the diameter (via measurement or from a plan/schematic), the first formula is usually most useful, but it's easy to do it both ways.

2019-10-30 · Volume of a Sphere A sphere is a set of points in space that are a given distance r from the center. The volume of a 3 -dimensional solid is the amount of space it occupies.Volume is measured in cubic units( in 3 , ft 3 , cm 3 , m 3 , et cetera).Be sure that all of the measurements are in the same unit before computing the volume. 2019-10-28 · Volume of Sphere. This is a very The formula above will give you an answer in terms of diameter. There is no need for a diameter calculator because all you have to do is to find radius and multiply that by 2 to find the diameter. As you can see, the diameter is twice the radius. If you have the volume of a liquid sphere, and you need to

2019-4-6 · For a circle, sphere and cylinder calculator click here. Circle Formulas. Circumference = 2 • π • radius = π • diameter Circle Area = π • r² = ¼ • π • d² Sphere Formulas. Sphere Surface Area = 4 • π • r² = π • d² Sphere Volume = 4/3 • π • r³ = ( π •d³)/6 ﻿Objective: To give a suggestive demonstration of the formula for the volume of a sphere in terms of its radius. Related terms Sphere: A sphere is a perfectly round geometrical and circular object in three-dimensional space that resembles the shape of a completely round ball.

2019-10-23 · Sphere Volume Definition. The Sphere Volume Calculator will instantly calculate the volume of any sphere if you enter in the radius of the sphere. A sphere is a perfectly round object. The most common example of a sphere is – you guessed it – a ball! Basketballs, baseballs, and volleyballs are all examples of close to perfect spheres. 2019-11-7 · And therefore we use a term called Volume ,to define such a mathematical quantity. Thus, volume of the sphere is nothing but the space occupied by a sphere! Simple enough? In other words, what area is to 2-D, volume is to 3-D. Thus in order to calculate volume: Step 1) We take the "'area" of the 2-D equivalent of the shape.

How does this sphere calculator work? The algorithm of this sphere calculator requires only one dimension to be given and that can be the radius, diameter, area or the volume; while the formulas applied are explained below: SOLUTION: The volume, V, of a sphere is a function of its radius, r, where V = 4/3pir^3. Express the volume as a function of the diameter, d.

2019-11-6 · Find the volume of a sphere with a diameter of 14 centimeters. So if I have a sphere-- so this isn't just a circle, this is a sphere. You could view it as a globe of some kind. So I'm going to shade it a little bit so you can tell that it's three-dimensional. They're giving us the diameter. So if we 2019-11-6 · Find the volume of a sphere with a diameter of 14 centimeters. So if I have a sphere-- so this isn't just a circle, this is a sphere. You could view it as a globe of some kind. So I'm going to shade it a little bit so you can tell that it's three-dimensional. They're giving us the diameter. So if we

SOLUTION: The volume, V, of a sphere is a function of its radius, r, where V = 4/3pir^3. Express the volume as a function of the diameter, d. The volume v of a sphere in terms of pi is v = 4/3pir^3 why does it need to be multiplied by 4/3? the formula was based from calculus. Since the question is under pre-calculus, best accept it …

2019-10-30 · In geometry, a spherical cap, spherical dome, or spherical segment of one base is a portion of a sphere cut off by a plane. If the plane passes through the center of the sphere, so that the height of the cap is equal to the radius of the sphere, the spherical cap is called a hemisphere. The volume v of a sphere in terms of pi is v = 4/3pir^3 why does it need to be multiplied by 4/3? the formula was based from calculus. Since the question is under pre-calculus, best accept it …

﻿Objective: To give a suggestive demonstration of the formula for the volume of a sphere in terms of its radius. Related terms Sphere: A sphere is a perfectly round geometrical and circular object in three-dimensional space that resembles the shape of a completely round ball. ﻿Objective: To give a suggestive demonstration of the formula for the volume of a sphere in terms of its radius. Related terms Sphere: A sphere is a perfectly round geometrical and circular object in three-dimensional space that resembles the shape of a completely round ball.

The radius of a sphere hides inside its absolute roundness. A sphere's radius is the length from the sphere's center to any point on its surface. The radius is an identifying trait, and from it other measurements of the sphere can be calculated, including its … A sphere has a diameter of 18 meters. Recent Visits . Q&A; Unanswered If a sphere fits snugly in a cube with a volume of 512cubic units what is the volume of the sphere? asked Oct 3, 2018 in PRECALCULUS by what is the volume of a cylinder 7 cm tall with a base diameter of 10 cm in terms of pi. asked Feb 19, 2014 in GEOMETRY by linda

Start studying Volume of Cylinders, Cones, and Spheres Assignment and Quiz. Learn vocabulary, terms, and more with flashcards, games, and other study tools. V=4/3 (pi) (r^3) By definition, radius is a half of diameter. r=D/2 Replace radius with the equation above. V=(4/3) (pi) ((D^3)/(2^3)) V=(4/3) (pi) ((D^3)/8) V=(4/24

## Volume of a sphere Article about Volume of a sphere by

What is the diameter and volume of Mars Answers. 2019-11-7 · And therefore we use a term called Volume ,to define such a mathematical quantity. Thus, volume of the sphere is nothing but the space occupied by a sphere! Simple enough? In other words, what area is to 2-D, volume is to 3-D. Thus in order to calculate volume: Step 1) We take the "'area" of the 2-D equivalent of the shape., A sphere has a diameter of 18 meters. Recent Visits . Q&A; Unanswered If a sphere fits snugly in a cube with a volume of 512cubic units what is the volume of the sphere? asked Oct 3, 2018 in PRECALCULUS by what is the volume of a cylinder 7 cm tall with a base diameter of 10 cm in terms of pi. asked Feb 19, 2014 in GEOMETRY by linda.

### Volume of a Sphere 6 Steps (with Pictures)

Spherical cap Wikipedia. The sphere is perfectly symmetrical, and has the smallest ratio of surface area to volume of any three-dimensional shape. In other words, for any given volume, the smallest surface area able to completely enclose that volume is a sphere. For this reason the sphere is …, The sphere is perfectly symmetrical, and has the smallest ratio of surface area to volume of any three-dimensional shape. In other words, for any given volume, the smallest surface area able to completely enclose that volume is a sphere. For this reason the sphere is ….

V=4/3 (pi) (r^3) By definition, radius is a half of diameter. r=D/2 Replace radius with the equation above. V=(4/3) (pi) ((D^3)/(2^3)) V=(4/3) (pi) ((D^3)/8) V=(4/24 How do you find the volume of a sphere? To find the volume, use this sphere volume formula: Sphere Volume = 4/3 x Pi x Radius 3. Pi = 3.1416 Example: The volume of a sphere with a radius of length 3 inches: Sphere Volume = 4/3 x 3.1416 x 3 3. Calculated out this gives a …

The well-known formula for finding the volume of a sphere having a radius of “r” is:¹ v = (4/3) × π × r³. So, we have that the volume of your sphere being: v = (4/3) × 3.14159265359 × (6/2)³ = 113.1 cubic meters. In terms of pi, we have: v = (4/3)... 2019-10-30 · Volume of a Sphere A sphere is a set of points in space that are a given distance r from the center. The volume of a 3 -dimensional solid is the amount of space it occupies.Volume is measured in cubic units( in 3 , ft 3 , cm 3 , m 3 , et cetera).Be sure that all of the measurements are in the same unit before computing the volume.

Volume of a sphere. The volume formula for a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3. Visual on the figure below: Same as a circle, you only need one measurement of the sphere: its diameter or its radius. Volume of a cone Volume of a sphere. The volume formula for a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3. Visual on the figure below: Same as a circle, you only need one measurement of the sphere: its diameter or its radius. Volume of a cone

﻿Objective: To give a suggestive demonstration of the formula for the volume of a sphere in terms of its radius. Related terms Sphere: A sphere is a perfectly round geometrical and circular object in three-dimensional space that resembles the shape of a completely round ball. How does this sphere calculator work? The algorithm of this sphere calculator requires only one dimension to be given and that can be the radius, diameter, area or the volume; while the formulas applied are explained below:

Start studying Volume of Cylinders, Cones, and Spheres Assignment and Quiz. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Let's call that V We know that the volume of a sphere is 4/3 Pi x r^3 So the cube root of 3v/4Pi is the radius, double it and you have the diameter. OR Volume of sphere is 1/6 Pixd^3 so 6V/Pi is

2018-10-16 · 1) The diameter of the hole is zero. This means that the entire sphere is left and the volume remaining is 4/3 pi R^3 where R = 6 in/2 = 3 in, volume = 36π in^3. However, it must also be true in the case where the diameter of the sphere is large and the diameter of the hole approaches the diameter of … Start studying Volume of Cylinders, Cones, and Spheres Assignment and Quiz. Learn vocabulary, terms, and more with flashcards, games, and other study tools.

2019-10-28 · A sphere is a three dimensional version of a circle, like a basketball or a marble. The definition of a sphere is "every point that is the same distance from a single point called the center." In order to calculate the surface area and volume of a sphere we first need to understand a few terms The volume represents the space enclosed by the object. The formula for the volume of a sphere is 4/3 times pi times the radius cubed. Cubing a number means multiplying it by itself three times, in this case, the radius times the radius times the radius. To find the volume in terms of pi, leave pi in the formula rather than converting it to 3.14.

SOLUTION: The volume, V, of a sphere is a function of its radius, r, where V = 4/3pir^3. Express the volume as a function of the diameter, d. How do you find the volume of a sphere? To find the volume, use this sphere volume formula: Sphere Volume = 4/3 x Pi x Radius 3. Pi = 3.1416 Example: The volume of a sphere with a radius of length 3 inches: Sphere Volume = 4/3 x 3.1416 x 3 3. Calculated out this gives a …

The radius of a sphere hides inside its absolute roundness. A sphere's radius is the length from the sphere's center to any point on its surface. The radius is an identifying trait, and from it other measurements of the sphere can be calculated, including its … 2018-10-16 · 1) The diameter of the hole is zero. This means that the entire sphere is left and the volume remaining is 4/3 pi R^3 where R = 6 in/2 = 3 in, volume = 36π in^3. However, it must also be true in the case where the diameter of the sphere is large and the diameter of the hole approaches the diameter of …

Sphere Shape. r = radius V = volume A = surface area C = circumference π = pi = 3.14159 √ = square root . Calculator Use. This online calculator will calculate the 3 unknown values of a sphere given any 1 known variable including radius r, surface area A, volume V and circumference C. 2004-3-31 · That's the formula for the volume of a sphere in terms of the diameter. Now just solve for d

### How to Find the Volume of a Sphere in Terms of Pi Sciencing

what is the volume of a sphere in cubic inches in terms of. How does this sphere calculator work? The algorithm of this sphere calculator requires only one dimension to be given and that can be the radius, diameter, area or the volume; while the formulas applied are explained below:, the geometric solid generated by revolving a circle about its diameter. A sphere is the locus of points in space at a distance not greater than a specified distance R from a fixed point. The fixed point is called the center of the sphere, and R is known as the sphere’s radius. The volume of a sphere is V = 4πR 3 /3. The surface of a sphere is also called a sphere; its area is S = 4πR 2..

### Spherical cap Wikipedia

How to Find the Radius of a Sphere When Given the Volume. Volume of a sphere formula. The volume of a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3.Visual on the figure below: Since in most practical situations you know the diameter (via measurement or from a plan/schematic), the first formula is usually most useful, but it's easy to do it both ways. https://en.wikipedia.org/wiki/Volume_of_a_sphere 2019-11-6 · Free practice questions for ACT Math - How to find the diameter of a sphere. Includes full solutions and score reporting..

volume of sphere NEW by: Dr Pete Clinicians are not taught a quick, 'in your head' estimation of volume of spherical tissue masses; if there were to be a 5-centimeter-diameter mass in the lung [visible on imaging], I can 'snap back' that its approximate volume would be 65 milliliters. How do you find the volume of a sphere? To find the volume, use this sphere volume formula: Sphere Volume = 4/3 x Pi x Radius 3. Pi = 3.1416 Example: The volume of a sphere with a radius of length 3 inches: Sphere Volume = 4/3 x 3.1416 x 3 3. Calculated out this gives a …

Volume of a Sphere in Terms of Pi (Radius/Diameter Given) Worksheets. Volume of a Sphere (In Terms of Pi) Worksheet 1 – This worksheet features images of 12 spheres. The radius or diameter of each sphere is provided, and you must calculate the volume in terms of Pi. Volume of a Sphere (In Terms of Pi) Worksheet 1 RTF Volume of a sphere formula. The volume of a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3.Visual on the figure below: Since in most practical situations you know the diameter (via measurement or from a plan/schematic), the first formula is usually most useful, but it's easy to do it both ways.

2019-10-28 · A sphere is a three dimensional version of a circle, like a basketball or a marble. The definition of a sphere is "every point that is the same distance from a single point called the center." In order to calculate the surface area and volume of a sphere we first need to understand a few terms 2019-10-28 · Volume of Sphere. This is a very The formula above will give you an answer in terms of diameter. There is no need for a diameter calculator because all you have to do is to find radius and multiply that by 2 to find the diameter. As you can see, the diameter is twice the radius. If you have the volume of a liquid sphere, and you need to

V=4/3 (pi) (r^3) By definition, radius is a half of diameter. r=D/2 Replace radius with the equation above. V=(4/3) (pi) ((D^3)/(2^3)) V=(4/3) (pi) ((D^3)/8) V=(4/24 Volume of a sphere. The volume formula for a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3. Visual on the figure below: Same as a circle, you only need one measurement of the sphere: its diameter or its radius. Volume of a cone

2004-3-31 · That's the formula for the volume of a sphere in terms of the diameter. Now just solve for d 2018-10-16 · 1) The diameter of the hole is zero. This means that the entire sphere is left and the volume remaining is 4/3 pi R^3 where R = 6 in/2 = 3 in, volume = 36π in^3. However, it must also be true in the case where the diameter of the sphere is large and the diameter of the hole approaches the diameter of …

2004-3-31 · That's the formula for the volume of a sphere in terms of the diameter. Now just solve for d the geometric solid generated by revolving a circle about its diameter. A sphere is the locus of points in space at a distance not greater than a specified distance R from a fixed point. The fixed point is called the center of the sphere, and R is known as the sphere’s radius. The volume of a sphere is V = 4πR 3 /3. The surface of a sphere is also called a sphere; its area is S = 4πR 2.

Volume of a sphere. The volume formula for a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3. Visual on the figure below: Same as a circle, you only need one measurement of the sphere: its diameter or its radius. Volume of a cone How does this sphere calculator work? The algorithm of this sphere calculator requires only one dimension to be given and that can be the radius, diameter, area or the volume; while the formulas applied are explained below:

Volume of a sphere. The volume formula for a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3. Visual on the figure below: Same as a circle, you only need one measurement of the sphere: its diameter or its radius. Volume of a cone How does this sphere calculator work? The algorithm of this sphere calculator requires only one dimension to be given and that can be the radius, diameter, area or the volume; while the formulas applied are explained below:

Volume of a Sphere in Terms of Pi (Radius/Diameter Given) Worksheets. Volume of a Sphere (In Terms of Pi) Worksheet 1 – This worksheet features images of 12 spheres. The radius or diameter of each sphere is provided, and you must calculate the volume in terms of Pi. Volume of a Sphere (In Terms of Pi) Worksheet 1 RTF The well-known formula for finding the volume of a sphere having a radius of “r” is:¹ v = (4/3) × π × r³. So, we have that the volume of your sphere being: v = (4/3) × 3.14159265359 × (6/2)³ = 113.1 cubic meters. In terms of pi, we have: v = (4/3)...

Volume of a sphere formula. The volume of a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3.Visual on the figure below: Since in most practical situations you know the diameter (via measurement or from a plan/schematic), the first formula is usually most useful, but it's easy to do it both ways. Volume of a sphere formula. The volume of a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3.Visual on the figure below: Since in most practical situations you know the diameter (via measurement or from a plan/schematic), the first formula is usually most useful, but it's easy to do it both ways.

The sphere is perfectly symmetrical, and has the smallest ratio of surface area to volume of any three-dimensional shape. In other words, for any given volume, the smallest surface area able to completely enclose that volume is a sphere. For this reason the sphere is … Volume of a sphere. The volume formula for a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3. Visual on the figure below: Same as a circle, you only need one measurement of the sphere: its diameter or its radius. Volume of a cone