Cylinder Hemisphere Cone

cylinder

cone

The volume of a cylinder C of radius r and height h is

V(C)=π

2

r

h

. The volume of a cone K with the same dimensions is

V(K)=1/3π

2

r

h

. If

r=h

, the volumes simplify to

V(C)=π

3

r

and

V(K)=1/3π

3

r

. The volume of a hemisphere H of radius r is

V(H)=2/3π

3

r

. Therefore, in terms of volume,

C=H+K

. Move the sliders to assemble a cylinder from its parts.