Question

a spherical ball just fits inside a cylindrical can, 16 centimeters tall, with a diameter of 16 centimeters. which expression gives the volume a sphere in cubic centimeters?

Answer 1

`V=(2,048)/(3)\pi\ cm^3`

Explanation:

we know that

The volume of the sphere is given by the formula

`V=(4)/(3)\pi r^(3)`

we have that

`r=16/2=8\ cm` ----> the radius is half the diameter

substitute

`V=(4)/(3)\pi (8)^(3)`

`V=(2,048)/(3)\pi\ cm^3`