Question

Please help , Is it abc or D . I really want to understand this

Answer 1

B

Explanation:

The surface area (A) of a sphere is

A = 4πr² ← r is the radius which we require

Given A = 2500π, then

4πr² = 2500π ( divide both sides by 4π )

r² = 625 ( take the square root of both sides )

r = 25

The volume (V) of a sphere is

V =
`(4)/(3)`πr³, and

`(V)/(\pi )` =
`(4)/(3)`r³ =
`(4)/(3)` × 25³ , thus

`(V)/(\pi )` =
`(4)/(3)` × 15625 ≈ 20833.33.. → B