Question

To calculate the volume of the cone, the height is still needed. If the cone has a lateral surface with a length of 13 units, what is the height of the cone?

Answer 1

Explanation:

Alright, lets get started.

The formula for volume of the cone is :

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

Please refer the diagram I have attached.

There is a right angle triangle formed.

Using Pythagorean theorem,

`l^2=h^2+r^2`

`13^2=h^2 + r^2`

`h^2=169-r^2`

taking square root on both sides,

`h=√(169-r^2)`

This is the answer h.

Hope it will help :)