A sphere with a radius of 3 cm has the same volume as a cone with a radius of 6 cm. What is the height of the cone?!

2 cm

3 cm

4 cm

5 cm

Step-by-step explanation:

VC = (1/3) ·pi·r2·h

VC = volume of a cone

r = radius of base of cone = 6 cm

h = height

VC = (1/3) ·pi·62·h

VC = 12·pi·h

VS = (4/3) ·pi·r3

VS = volume of a sphere

r = radius of base of sphere = 3 cm

VS = (4/3) ·pi·33

VS = 36·pi

Since the volume of the cone and the sphere are equal:

VC = VS

12·pi·h = 36·pi

Solve for h.