Question

Find the volume of a right circular cone that has a height of 8.4 m and a base with a radius of 2.2 m. Round your answer to the nearest tenth of a cubic meter.

Answer 1

`42.6m^3`

Explanation:

Volume of a Cone
`=(1)/(3)\pi r^2 h`

Height, h=8.4m

Radius,r =2.2m

Therefore:

Volume of the Right Circular Cone
`=(1)/(3)* \pi *2.2^2 *8.4=42.57m^3`

Therefore the volume of the cone is
`42.6m^3` to the nearest tenth.

Answer 2

The volume of the cone is 42.6 m^3

Explanation:

The volume of a cone is given by the area of the base multiplied by the height of the cone and divided by three. The base is a circle, so it's area is computed by the following:

Abase = pi(r^2) = 3.14(2.2^2) = 15.2 m^2

We can then compute the volume of the cone that is:

Vcone = Abase*h/3 = 15.2*8.4/3 = 42.56 m^3

The volume of the cone is 42.6 m^3