Question

What is the volume of a right cone whose base diameter is 28 cm and whose height is 45 cm? Round your answer to the nearest tenth.

Answer 1

9231.6 cm³

Explanation:

We know the diameter of the cone, the radius of the cone is half, therefore the radius would be equal to 14 cm (28/2).

The volume of the cone is calculated as follows:

`V=(1)/(3)\pi\cdot r^2\cdot h`

we substitute each value and determine the volume, just like this:

`\begin{gathered} V=(1)/(3)\cdot 3.14\cdot 14^2\cdot 45 \\ \\ V=9231.6\text{ cm}^3 \end{gathered}`

The volume of the cone is equal to 9231.6 cm³