Volume Of Frustums

This lesson covers:

  1. What a 'frustum' is (basically a cone with the top part chopped off)
  2. How to find the volume of a frustum

What is the radius of the top of the frustum?

Diagram showing a frustum with measurements of 12mm, 36mm, and a top radius denoted as r.

5

3

10

12

0

/

1

Calculate the volume of the frustum (shown in blue) below.

(Give your answer to 3 significant figures)

Diagram showing a frustum with dimensions for calculating volume.
396

cm3

cm3

0

/

1

Calculate the volume of the frustum (shown in blue) below.

(Give your answer in terms of π, to the nearest whole number)

Diagram showing a frustum with dimensions labeled, including heights of 6 cm and 2 cm, and a base radius of 3 cm.
19

π cm3

π cm3

0

/

1

Calculate the volume of the frustum (shown in blue) below.

(Give your answer to 3 significant figures)

Diagram showing a frustum with dimensions labeled, including heights of 16 cm and 12 cm, and a top radius of 3 cm.
2380

cm3

cm3

0

/

1

Calculate the volume of the frustum (shown in blue) below.

(Give your answer in terms of π, to the nearest whole number)

Diagram showing a frustum with dimensions labeled as 12 cm and 24 cm.
1008

π cm3

π cm3

0

/

1

Calculate the volume of the frustum (shown in blue) below.

(Give your answer in terms of π, to the nearest whole number)

Diagram showing a frustum with a height of 9 cm, a top radius of 2 cm, and a bottom radius of 6 cm.
104

π cm3

π cm3

0

/

1

Calculate the volume of the frustum below.

(Give your answer to the nearest cm3)

Diagram showing a frustum with dimensions 6 cm height, 4 cm top diameter, and 8 cm bottom diameter.
704

cm3

cm3

0

/

1