1. What is the relationship between the volume of a cylinder and the volume of a sphere?
Watch the following video to find out!

2. Since one sphere will fill two-thirds of a cylinder,
i.e Vsphere = Vcylinder 3
the formula for volume of a sphere:
Vsphere = r2h
and since hcylinder = then
Vsphere = (r2)(2r)
Vsphere = r3 r 2r r

3. Part D – Volume of Spheres
Example: Find the volume of hemisphere with a radius of 7 cm (to 1 dec. pl.)
Equation:
Substitute:
V = 1 of Vsphere 2
V = r3
2 3
V = 4 (7)3 6
V = 718.4
r =7
 The volume of the hemisphere is cm3