
Directions: Read carefully.
1. 
When it was blown up, this balloon formed a sphere because it was trying to hold as much air as possible with as small a surface as possible.
How much air, to the nearest tenth of a cubic inch, is being held by a spherical balloon with a diameter of 12 inches?
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2. 
The circumference and height of this right circular cone are shown. Find the volume of this cone, to the nearest cubic foot.
Hint: Use full calculator entries until ready to round the final answer.
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3. 
A cylinder and a cone each have a radius of 3 cm. and a height of 8 cm. Which of the choices represents the ratio of the volume of the cone to the volume of the cylinder?
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4. 
A pharmacist is filling medicine capsules. The capsules are cylinders with hemispheres on each end. The length of the cylinder measures 12 mm and the radius is 2 mm. Find, to the nearest tenth, the cubic mm of medication contained in one capsule.
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5. 
A nursery builds protective cylindrical covers, as shown, to protect seedlings from frost. The cover has a top, but no bottom. How many square feet of flexible plastic will be needed to build three dozen of the covers? The flexible plastic is sold by the square foot.


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6. 
The official size of a basketball used by the NBA is 29.5 inches in circumference. Which of the following choices expresses the volume of the basketball, to the nearest tenth of a cubic inch?
Hint: Don't round until finished. Use full calculator entries.
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7. 
An ice cream cone can be modeled with a right circular cone and a hemisphere. If the ice cream filled the entire cone and the hemisphere, how many cubic inches of ice cream would be needed?
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8. 
The radius of a sphere is 4 feet. What is the area of a great circle of this sphere to the nearest square foot ?
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9. 
A cylinder and a sphere have the same radius and the same height. What is the ratio of the volume of the cylinder to the volume of the sphere?
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10. 
The cone shown at the right is a right circular cone with a base radius of 8 inches. The cone is sliced parallel to the base. A smaller cone of base radius 4 inches and height of 12 inches is cut off the top. The remaining bottom section of the original cone which is left behind is called a frustum.
Not drawn to scale. 



a) Find the volume of the frustum. Leave answer in terms of π.
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b) This frustum has the same volume as another right circular cone with a base radius of 8 inches. What is the height, in inches, of this new cone?
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