Answer:
radius = 6 cm
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex] πr³ ← r is the radius
Given V = 288π, then
[tex]\frac{4}{3}[/tex] πr³ = 288π
Multiply both sides by 3 to clear the fraction
4πr³ = 864π ( divide both sides by 4π )
r³ = 216 ( take the cube root of both sides )
r = [tex]\sqrt[3]{216}[/tex] = 6
Thus the radius of the sphere is 6 cm
