Free Printable Volume of Pyramids and Cones

1.

A snack bar sells popped popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popped popcorn does one container hold?

a)

502.7 in³

b)

167. 6 in³

c)

261.8 in³

d)

83.7 in³

2.

Find the volume.

a)

240 cm³

b)

1440 cm³

c)

720 cm³

d)

480 cm³

3.

What is the volume of the pentagonal pyramid?

a)

182.6 yd³

b)

2739 yd ³

c)

913 yd³

d)

1826 yd³

4.

Ice cream is served in a sugar cone of volume 75pi and height 9 inches. What is the radius of the sugar cone?

a)

3 inches

b)

5 inches

c)

10 inches

d)

6 inches

5.

The Lord of the Dance emerges resplendently from his tepee of diameter 20 feet, height 14 feet, and volume....?

a)

1466 cubic feet

b)

4398 cubic feet

c)

3321 cubic feet

d)

5864 cubic feet

6.

The Lord of the Dance commands you to wear a dunce cap of diameter 18 centimeters and height 25 centimeters. You respond, "Thank you for the princess hat, milord," causing the veins on his forehead to bulge as he fills with consternation. How spacious is the hat?

a)

6361.73 cubic centimeters

b)

8428.30 cubic centimeters

c)

2229.56 cubic centimeters

d)

2120.58 cubic centimeters

7.

According to the 1994 cinematic masterpiece Stargate, the pyramids were built as landing platforms for Goa'uld motherships.

The Great Pyramid of Giza is 455 feet tall with each side of its square base measuring 756 feet. What's the approximate volume?

a)

52 million cubic feet

b)

87 million cubic feet

c)

99 million cubic feet

d)

102 million cubic feet

8.

What is the approximate volume of this storage silo, and what could it contain?

a)

1,357 m³, belly button lint

b)

1,734 m³, Lucky Charms

c)

377 m³, onions

d)

590 m³, mealworms

9.

A solid cone was placed in the center of a rectangular prism fish tank as shown. How much water does the fish tank hold?

a)

1512 in³

b)

1455 in³

c)

1286 in³

d)

1569 in³

10.

Find the volume.

a)

$75\ in^3$

b)

$62.4\ m^3$

c)

$298.7\ m^3$

d)

$51.3\ in^3$

11.

You pour water from a full disposable conical cup into your mouth. How much water are you drinking?

a)

$168.1\ cm^3$

b)

$28.1\ cm^3$

c)

$4712.4\ cm^3$

d)

$513,333.3\ cm^3$

12.

Find the volume of an oblique cone with a height of 10.5 millimeters and a radius of 1.6 millimeters.

a)

$168.1\ mm^3$

b)

$28.1\ mm^3$

c)

$4712.4\ mm^3$

d)

$513,333.3\ mm^3$

13.

Find the volume of a cone with a slant height of 25 meters and a radius of 15 meters.

a)

$168.1\ m^3$

b)

$28.1\ m^3$

c)

$4712.4\ m^3$

d)

$513,333.3\ m^3$

14.

The sky dome of the National Corvette Museum in Bowling Green, Kentucky, is a conical building. If the height is 100 feet and the area of the base is about 15,400 square feet, find the volume of air that the heating and cooling system would have to accommodate.

a)

$168.1\ ft^3$

b)

$28.1\ ft^3$

c)

$4712.4\ ft^3$

d)

$513,333.3\ ft^3$

Volume of Pyramids and Cones

Total questions: 14

Worksheet time: 18mins

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