Answer:
see explanation
Step-by-step explanation:
To calculate volume (V) we require to find the radius r
Given SA = 100π, then
4πr² = 100π ( divide both sides by 4π )
r² = [tex]\frac{100\pi }{4\pi }[/tex] = 25 ( take the square root of both sides )
r = [tex]\sqrt{25}[/tex] = 5
Hence
V = [tex]\frac{4}{3}[/tex]π × 5³
= [tex]\frac{4}{3}[/tex]π × 125
= [tex]\frac{4(125)}{3}[/tex] π
= [tex]\frac{500}{3}[/tex] π ft³
