Practice with Volume (C) Terms of Use    Contact Person: Donna Roberts
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?

Choose:
 150.8 cu.in. 226.2 cu.in. 904.8 cu.in. 7238.2 cu.in.

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.
Choose:
 80 96 112 216

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?

Choose:
 1 : 1 1 : 3 1 : 2 1 : π

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.

Choose:
 32.7 cu. mm. 150.7 cu. mm. 184.3 cu. mm. 202.6 cu. mm.

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.

Choose:
 76 sq. ft. 96 sq. ft. 252 sq. ft. 302 sq. ft.

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.

Choose:
 277.0 cu. in. 297.5 cu. in. 433.5 cu. in. 482.5 cu. in.

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?
Choose:
 21 cu. in. 36 cu. in. 71 cu. in. 85 cu. in.

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 ?

Choose:

 13 sq. ft. 50 sq. ft. 51 sq. ft. 804 sq. ft.

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?

Choose:
 1 : 1 2 : 1 π : 3 3 : 2

 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.
Choose:

 64π cu. in. 448π cu. in. 512π cu. in. 576π cu. in.
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?
Choose:

 12 inches 18 inches 21 inches 22 inches

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