Question

A spherical ball just fits inside a cylindrical can, 20 centimeters tall, with a diameter of 20 centimeters. Which expression gives the volume of the sphere, in cubic centimeters?

Answer 1

B.
`(4)/(3)\pi (10)^3`

Explanation:

Given:

A spherical ball just fits inside a cylindrical can, 20 centimeters tall, with a diameter of 20 centimeters.

diameter of Sphere = 20 centimeters

hence radius = half of diameter =
`(1)/(2)* 20 = 10\ cm`

Hence we need to find the volume of sphere.

Volume of sphere =
`(4)/(3)\pi r^3`

Here r is the radius of the circle.

Hence Volume of sphere =
`(4)/(3)\pi (10)^3`

Hence Option B
`(4)/(3)\pi (10)^3` is the correct answer.