Question

The volume of a metallic sphere is 38808 cm³. Find its surface area.

Answer 1

Given:

Volume V = 38808 cm³

Use the volume formula for a sphere:

`V = (4/3)πr^3`

Solve for r³:

`(4/3)`πr³

= 38808

⇒ r³ = `(3×38808)/(4π)`

= `29106/π`

= `(29106 × 7)/22`

= 9261

r = `root3 9261`

= 21 cm

S = 4πr²    ...[Substitute r and evaluate]

S = 4 × `(22/7)` × 21^2

= `4 × 22/7 × 441`

= 5544 cm²