A sphere and a cone have the same volume,and each has a radius of 6 centimeters. What is the height of the cone?

Question

I can't figure out the formula for it and can't figure the answer by my rubric.

Answer 1

Volume of sphere - (4/3)*pi*r³ Volume of cone = (1/3)*pi*h*r² r= radius, h = cone height

If the volumes are equal, (4/3)-pi*r³ = (1/3)*pi*h*r² or h = 4*r

if r = 6 cm, then h = 4(6) = 24 cm