# Cylinder Hemisphere Cone

Cylinder Hemisphere Cone

The volume of a cylinder C of radius r and height h is . The volume of a cone K with the same dimensions is . If , the volumes simplify to and . The volume of a hemisphere H of radius r is . Therefore, in terms of volume, . Move the sliders to assemble a cylinder from its parts.

V(C)=πrh

2

V(K)=1/3πrh

2

r=h

V(C)=πr

3

V(K)=1/3πr

3

V(H)=2/3πr

3

C=H+K