Respuesta :
Answer:
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.