Answer:
[tex]\frac{500\pi }{3}[/tex] ft³
Step-by-step explanation:
The surface area of a sphere = 4πr², hence
4πr² = 100π ( divide both sides by 4π )
r² = 25 ( take the square root of both sides )
r = [tex]\sqrt{25}[/tex] = 5, hence
V = [tex]\frac{4}{3}[/tex]πr³
= [tex]\frac{4}{3}[/tex]π × 5³
= [tex]\frac{4}{3}[/tex]π × 125 = [tex]\frac{500\pi }{3}[/tex] ft³
