Question

Find the radius of a sphere given the volume. Volume= 121.5(pi) cubic ft. A 6.8 ft B 4.5 ft

Answer 1

Radius of the sphere =
`\sqrt[3]{91.13} \,feet`

Explanation:

Volume of a sphere is :

`(4)/(3)* \pi * r^3`

For, Volume =
`121.5\pi \,feet^3`

As,
`\pi =(22)/(7)=3.14`

`121.5* \pi =(4)/(3)* \pi * r^3 \\\\121.5=(4)/(3)* r^3\\\\ 121.5* (3)/(4) =r^3\\\\r^3=91.13\\\\r=\sqrt[3]{91.13} \,feet`

The radius of the sphere is :
`\sqrt[3]{91.13} \,feet`