Quiz about Cones, Cylinders, Spheres

Question 1

A hollow glass cone is filled with perfume and placed inside of a hollow cylindrical container with the same height and diameter as the cone. The cylinder will then be filled with packing material. If the cone occupies 60 cm³of space, how many cubic centimeters of packing material will be needed?

Accepted Answer

120

Answer

30

Answer

60

Answer

180

Question 2

The figure shown below is composed of a rectangular prism and two half cylinders. Which is closest to the volume of the figure?

Accepted Answer

706 cm3

Answer

781 cm3

Answer

631 cm3

Answer

593 cm3

Question 3

A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?

Accepted Answer

33,493.3 mm³

Answer

1,676 mm3

Answer

18,850 mm³

Answer

268,083 mm³

Question 4

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

Accepted Answer

942 cubic feet

Answer

377 cubic feet

Answer

2,958 cubic feet

Answer

3,768  cubic feet

Question 5

The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?

Accepted Answer

11,720 cubic feet

Answer

24,280 cubic feet

Answer

16,430 cubic feet

Answer

4,480 cubic feet

Question 6

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes or surface areas is true?

Accepted Answer

The volume of Ball 1 is 8 times the volume of Ball 2.

Answer

The volume of Ball 2 is twice the volume of Ball 1.

Answer

The volume of Ball 1 is twice the volume of Ball 2.

Answer

The volume of Ball 2 is 8 times the volume of Ball 1.

Question 7

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet?

Accepted Answer

88.3 ft3

Answer

176.6 ft3

Answer

141.3 ft3

Answer

70.7 ft3

Question 8

A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold?

Accepted Answer

1455 in3

Answer

1286 in3

Answer

1476 in3

Answer

1569 in3

Question 9

Jack is making 4 cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximately how many cubic centimeters of wax will Jack need to make the candles?

Accepted Answer

1,847 cm3

Answer

7,389 cm3

Answer

6,333 cm3

Answer

3,167 cm3

Question 10

A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

Accepted Answer

3,140 in3

Answer

600 in3

Answer

1,885 in3

Answer

12,566 in³

Question 11

Soda is sold in aluminum cans that measure
4.83 inches in height and 2.6 inches in diameter. Approximately, how many ounces of soda are contained in a full can?
1 in³ = 0.554 ounces

Accepted Answer

14 ounces

Answer

1 ounces

Answer

26 ounces

Answer

57 ounces

Question 12

Which cylinder will have a larger volume?

Accepted Answer

Cylinder A

Answer

Cylinder B

Question 13

A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth.

Accepted Answer

502.4 in3

Answer

167.5 in3

Answer

251.2 in3

Answer

83.7 in3

Question 14

What is the volume of both the cone and the cylinder?

Accepted Answer

1,733.28 m³

Answer

1,356.48 m³

Answer

376.8 m3

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