Practice Page
Directions: Read carefully and choose the best answer.

1.
A sphere has a volume of 36π cubic meters. What is the radius of the sphere in meters?

sphere1
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.

sphere2
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.
redbluesphere
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?
basketballpd
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.
beachball
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.

bluehemiscyl



7.
The volume of the hemisphere shown at the right is 60.75π cubic units.
What is the radius of this hemisphere?
Yhemisphere
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.
Yconehem
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?
 slicehem
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!)
 atop
 
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.

        

 

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