 Sphere & Hemisphere Practice Terms of Use    Contact Person: Donna Roberts  1.
A sphere has a volume of 36π cubic meters. What is the radius of the sphere in meters? Choose:
 2 meters 2.5 meters 3 meters 5.2 meters

2.
A plane slices a sphere of radius 12 units perpendicular to a radius. The surface of the cross section is ¾ of the distance from the center of the sphere. Find the area of this cross section. Choose:
 44π units2 63π units2 80π units2 108π units2

3.
A sphere is placed in a cylinder such that the sphere touches (is tangent to) the top, bottom, and sides of the cylinder. The volume of the sphere is 972π cubic units. Find the volume of the cylinder. Choose:
 216π units3 729π units3 1458π units3 1728π units3

4.
A basketball is approximately 30 inches in circumference. How much leather is needed, in square inches, to cover the basketball? Choose:
 225 square units 900 square units 225π-1 square units 900π-1 square units

5.
A beach ball has a diameter of 18 inches. Find the volume of air in the ball to the nearest cubic inch. Choose:

 905 cubic inches 2,145 cubic inches 3,054 cubic inches 24,429 cubic inches

6.
A solid is composed of a cylinder with a radius of 9" and height of 20" and a hemisphere, as shown. Find the volume of this solid.
Choose:
 1290π cubic in. 2592π cubic in. 2430π cubic in. 2106π cubic in. 7.
The volume of the hemisphere shown at the right is 60.75π cubic units.
What is the radius of this hemisphere? Choose:

 4 units 4.5 units 6 units 6.75 units

8.
The diagram at the right shows a right circular cone and a hemisphere as labeled. Find the volume of this solid. Choose:
 42 π cubic inches 60 π cubic inches 90 π cubic inches 108 π cubic inches

9.
The hemisphere is sliced perpendicular to a radius and passing through the center of the hemisphere. The radius of the hemisphere is 24 feet. What is the area of the cross section, in square feet? Choose:

 1152π 576π 288π 144π

 10. A hemisphere sits centered atop a closed right circular cylinder. The radius of the hemisphere is 5 inches. The radius of the cylinder is 7 inches and its height is 6 inches. Which of the following statements are true regarding this diagram? (Check all that apply, and hit SUBMIT!) The volume of the hemisphere is approximately 524 in3. The volume of the cylinder is approximately 924 in3. The area of the top of the cylinder not covered by the hemisphere is approximately 75 in2. A cross section perpendicular to the base of the solid through its center has an area of approximately 123 in2. 