Answer:
B
Step-by-step 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 = [tex]\frac{4}{3}[/tex]πr³, and
[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex]r³ = [tex]\frac{4}{3}[/tex] × 25³ , thus
[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex] × 15625 ≈ 20833.33.. → B
