A right circular cylinder with a height of 20 cm and a right circular cone share a circular base and have the same volume. What is the height of the cone?

Answer 1

Cone V = 1/3π(r^2)h

Cylinder V = π(r^2)h

1/3π(r^2)h = π(r^2)h

Dividing both sides by π(r^2) and inserting value for h:

1/3h = 20

h = ?

Answer 2

20