Question

Surface area of a sphere is 615.752 m2, what is the volume of the sphere?

A) 1436.76 m2
B) 1436.76 m3
C) 2463.01 m2
D) 2463.01 m3

Answer 1

B

the volume (V) of a sphere =
`(4)/(3)` πr³

We require to know the radius r to calculate the volume

using surface area of a sphere = 4πr² = 615.752

divide both sides by 4π

r² =
`(615.752)/(12.56)` = 49.0248...

take the square root of both sides

r =
`√(49.0248..)` ≈ 7, hence

V=
`(4)/(3)` × π × 7³ = 1436.76 m³ → B