Answer:
r = 3 in
Step-by-step explanation:
The volume (V) of a sphere is calculate as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )
Here V = 36π , then
[tex]\frac{4}{3}[/tex]πr³ = 36π ( multiply both sides by 3 to clear the fraction )
4πr³ = 108π ( divide both sides by 4π )
r³ = [tex]\frac{108\pi }{4\pi }[/tex] = 27 ( take the cube root of both sides )
r = [tex]\sqrt[3]{27}[/tex] = 3