Volume- Cylinders, Cones, & Spheres

1.

Multiple Choice

1 min

1 pt

How do you find the volume of a cone?

V= ^1/₃πr²h

V= ^4/₃πr²h

V= ^4/₃πr³

V= πr²h

2.

Multiple Choice

1 min

1 pt

How do you find the volume of a cylinder?

V= ^1/₃πr²h

V= ^4/₃πr²h

V= ^4/₃πr³

V= πr²h

3.

Multiple Choice

1 min

1 pt

How do you find the volume of a sphere?

V= ^1/₃πr²h

V= ^4/₃πr²h

V= ^4/₃πr³

V= πr²h

4.

Multiple Choice

45 sec

1 pt

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

1,676 mm³

18,850 mm³

33,510.3 mm³

268,083 mm³

5.

Multiple Choice

1 min

1 pt

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?

377 cubic feet

942 cubic feet

2,958 cubic feet

3,768 cubic feet

6.

Multiple Choice

1 min

1 pt

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?

24,280 cubic feet

16,430 cubic feet

11,720 cubic feet

4,480 cubic feet

7.

Multiple Choice

5 mins

1 pt

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?

7,389 cm³

6,333 cm³

3,167 cm³

1,847 cm³

8.

Multiple Choice

2 mins

1 pt

Which figure has a volume of 45π ft³?

Cylinder with a height of 5ft and diameter of 6 ft

Sphere with a radius of 3 ft

Cone with a radius of 3 feet and height of 5 ft

Sphere with a diameter of 5 feet

9.

Multiple Choice

5 mins

1 pt

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

781 cm³

706 cm³

631 cm³

593 cm³

10.

Multiple Choice

3 mins

1 pt

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

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

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

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

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

11.

Multiple Choice

3 mins

1 pt

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? Use π = 3.14.

176.6 ft³

141.3 ft³

88.3 ft³

70.7 ft³

12.

Multiple Choice

1 min

1 pt

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?

1286 in³

1455 in³

1476 in³

1569 in³

13.

Multiple Choice

1 min

1 pt

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

600 in³

1,885 in³

3,140 in³

12,566 in³

14.

Multiple Choice

45 sec

1 pt

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

21 cubic inches

63 cubic inches

66 cubic inches

198 cubic inches

15.

Multiple Choice

1 min

1 pt

A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere? Use π=3.14.

261,000

2,351,000

18,810,000

41,210,000

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