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)=πh
2
r
V(K)=1/3πh
2
r
r=h
V(C)=π
3
r
V(K)=1/3π
3
r
V(H)=2/3π
3
r
C=H+K