Question

Consider this composite figure.

Answer the following steps to find the volume of the
composite figure.
What is the volume of the 3 mm-tall cone?
V= ____ pi mm^3

What is the volume of the cylinder?
V = ___ pi mm^3

What is the volume of the 1 mm-tall cone?
V = ____ pi mm^3

What is the volume of the composite figure?

V=____ pi mm^3​

Answer 1

Given:

Height of top cone = 3 mm

Radius = 2 mm

Height of cylinder = 4 mm

Height of bottom cone = 1 mm

To find:

The volume of the composite figure

Solution:

Volume of 3 mm tall cone
`=(1)/(3) \pi r^2h`

`=(1)/(3) \pi * 2^2* 3`

Volume of 3 mm tall cone = 4π mm³

Volume of cylinder =
`\pi r^(2) h`

`=\pi* 2^(2) * 4`

Volume of cylinder = 16π mm³

Volume of 1 mm tall cone
`=(1)/(3) \pi r^2h`

`=(1)/(3) \pi * 2^2* 1`

Volume of 1 mm tall cone = 1.33π mm³

Volume of composite figure = 4π + 16π + 1.33π

= 21.33π mm³

The volume of the composite figure is 21.33π mm³.