Question

The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3)

Answer 1

radius = 3 feet

rearrange the formula making r the subject

$\frac{4}{3}$ πr³ = V ( multiply both sides by 3 to eliminate fraction )

4πr³ = 3V ( divide both sides by 4π )

r³ = $\frac{3V}{4\pi }$ = ( 3 × 36π ) / 4π = 3 × 9 = 27

take the cube root of both sides

r = $\sqrt[3]{27}$ = 3