Question

A cone and 2 cylinders are shown below. The volume of the cone is 15 cubic centimeters. Each of the 2 cylinder has the same height and the same radius as the cone. What is the combined volume. in cubic centimeters, of the 2 cylinders?

5
10
45
90

Answer 1

90
`cm^(3)`

Explanation:

Given:

The volume of a cylinder =15
`cm^(3)`

Height of cone = Height of either cylinder

Radius of cone=Radius of either cylinder

Formula:

Volume of a cone =
`\pi r^(2)h/3`

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

To find: Combined volume of both cylinders.

The volume of a cylinder =15
`cm^(3)`

`\pi r^(2)h/3`=15
`cm^(3)`

`\pi r^(2)h`=15 * 3
`cm^(3)`

`\pi r^(2)h`=45
`cm^(3)`

[As

Height of cone = Height of either cylinder

Radius of cone=Radius of either cylinder]

`\pi r^(2)h`=45
`cm^(3)` is the volume of one cylinder.

Combined volume of cylinder = 2* Volume of cylinder = 2*45 =90
`cm^(3)`