
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?


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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. 

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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.


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4. 
A basketball is approximately 30 inches in circumference. How much leather is needed, in square inches, to cover the basketball? 



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


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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.
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7. 
The volume of the hemisphere shown at the right is 60.75π cubic units.
What is the radius of this hemisphere?


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8. 
The diagram at the right shows a right circular cone and a hemisphere as labeled. Find the volume of this solid.




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?


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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!)




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