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# How do you find the diameter of a sphere given volume?

Updated: 11/4/2022

Wiki User

12y ago

V = 4/3 pi r^3

4/3 * pi

take cubic root

Wiki User

12y ago

Wiki User

12y ago

Divide the diameter by to 2 to give the radius and use the following formula:-

Volume in cubic units = 4/3*pi*radius3

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Q: How do you find the diameter of a sphere given volume?
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### How do you find the diameter of a sphere with a given volume?

Make the radius the subject of the formula 4/3*pi* radius3 = volume and then double it to give the diameter.

### How do you find the diameter of a sphere in solution when change in solution volume after addition of sphere is given?

The change in solution volume will be the volume of the sphere. 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 the diameter cubed. Take the cube root of 6V/Pi and that is the diameter.

### How do you find the volume with the diameter?

The volume of a sphere is 1/6*pi*d3 where d is the diameter.

### How large is a sphere that has a cubic volume of 020?

To find the diameter of the sphere, you must calculate the cube root of the volume. The cube root of 20 is approximately 2.71. Therefore, the diameter of the sphere is twice this value, which is approximately 5.42 units.

### How do you find the volumeof a sphere when you only have the diameter?

Volume of sphere is 1/6 times pi times diameter cubed Thuis Volume = 1/6 (3.14) times diameter cubed or 0.5236 Diameter cubed

### What is the ratio of the volumes of a sphere and a cone with the base diameter and the altitude of the cone equal to the diameter of the sphere?

The ratio is given as the sphere volume divided by the volume of the cone. The volume of a sphere that satisfies these conditions is 4/3 x pi x r cubed, and the volume for the cone is 2/3 x pi x r cubed, where r is the radius and pi is equal to 3.14. Dividing these two volumes, you find the resulting ratio is 2.

### How do you find base of a sphere with a given volume?

The base of a sphere is a single point: with no length or breadth.

### What are the volume and radius and diameter of Mars?

Mars is almost a sphere and the volume of a sphere is: 4/3*pi*radius3 So find its radius and its volume can be found using the above formula

### How many cubic inches of material do you need to make a solid rubber ball with a diameter of?

You can look at this problem by stating it differently. Basically we just need to find the volume of a sphere with a given diameter. If we look up the formula for the volume of a sphere we get: Volume equals four thirds times pi times the radius cubed. The radius of a sphere is equal to 1/2 of the diameter, and pi is equal to about 3.14. Using this information we can find the volume of our rubber ball. V=(4/3)*pi*(1/2d)^3 So if you had a rubber ball with a 2 in. diameter, you would have a volume of about 4.19 in^3. Hope that helps.

### Find the volume of a shpere with diameter 6 m?

Volume of a sphere = 4/3*pi*radius3 Volume = 4188.790205 cubic inches

### How can you find the diameter of a sphere when the volume is given?

Write down the formula which isV=4/3&para;r3 and plug the volume in for V and solve it like you would any other equation. Once you've found r which is the radius, multiply that by 2 to get the diameter.

### How do you find the diameter of a sphere from its volume?

the volume is (Pixdiameter^3)/6 which we write as: V=( &pi; &bull;d&sup3;)/6 So diameter is the cube root of (6v/Pi)