which is greater the total volume of three spheres, each of which has a diameter 3 in. the volume sphere that has a diameter 8in., or the volume of a hemisphere with a diameter of 9 in.
The total volume of three spheres with a diameter of 3 inches each is:
3 * (4/3) * pi * (1.5)^3 = 31.41 cubic inches
The volume of a sphere with a diameter of 8 inches is:
(4/3) * pi * (4)^3 = 268.08 cubic inches
The volume of a hemisphere with a diameter of 9 inches is:
(2/3) * pi * (4.5)^3 = 381.71 cubic inches
Therefore, the volume of the hemisphere is greater than the total volume of the three spheres and the volume of the sphere with a diameter of 8 inches.