Question

terrence made a sphere out of modeling clay. the sphere had a radius of 2 inches. approximately how much modeling clay did terrence use, in cubic inches?

Answer 1

Amount of clay used = volume of the sphere

It is given that the radius of the sphere is 2 inches.

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

`=(4)/(3) \pi (2^(3) )`

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

`=(32)/(3) \pi`

Hence, the amount of modeling clay Terrence used
`=(32)/(3) \pi` cubic inches.