A volleyball of radius 13 inches fits exactly in a cylinder with the same radius. inside the container there is empty space not taken up by the volleyball. what is the volume of that empty space? use 3.14 for ? and round the answer to the nearest cubic inch.

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musiclover10045 musiclover10045 · Answer 1 · 2017-07-08T08:55:19+02:00

Volume of Sphere is V=(4/3)*PI*r^3

The radius of the volleyball is 13 inches

So V=(4/3) * 3.14 * 13^3 = 9198 cubic inches

Volume of a cylinder is V=pi * r^2 *h

Since they say the ball fits perfectly

The radius is 13 and the height is 26 ( the diameter of the ball)

So V=3.14 * 13^2 * 26 = 13,797 cubic inches

13797 – 9198 = 4,599 cubic inches of empty space

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abidemiokin abidemiokin · Answer 2 · 2022-04-25T17:21:51+02:00

The volume of that empty space to nearest cubic inches is 11,498 cubic inches

The volleyball in question is spherical in shape since a sphere is a round solid with a radius.

The formula for calculating the volume of the volleyball is expressed as:

V = 1/3πr³
V = 1/3 * 3.14 * 13³
V = 2,299.53 cubic inches

Determine the volume of a cylinder

Vc = πr²h
Vc = π(13)²*26
Vc = 13,797.16

Find the difference

Vd = 13,797.16 - 2,299.53

Vd =11,497.63 cubic in

Hence the volume of that empty space to nearest cubic inches is 11,498 cubic inches

Learn more on volume of solid here: https://brainly.com/question/21036176