Question

The volume of a sphere is 288π cm³. Find its surface area.

Answer 1

Given:

Volume of sphere V = 288π cm³.

Step 1: 

Volume of a sphere: V = `4/3`​ πr3

288π = `4/3 ​πr^3`    ...[Cancel π on both sides]

288 = `4/3 r^3`

`r^3 = 288 × 3/4`             ..... [Multiply by `3/4`]

= 216

r = `root 3 216 = 6cm`

Surface area of a sphere 

S = 4πr² 

S = 4π (6)²

= 4π × 36

= 144π cm²