Question

Find the surface area of a sphere with a volume of 36π in^3

Answer 1

Volume of a Sphere =
`(4)/(3)`πr³

⇒
`(4)/(3)`πr³ = 36π in³
by comparing the left and right hand side

⇒
`(4)/(3)` r³ = 36

⇒ r = ∛(36 ÷
`(4)/(3)`)

r = 3

Now,
the surface area of a sphere = 4 πr²
⇒ surface area of a sphere = 4 × (3)² × π
= 36π in²