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?

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 class=

Respuesta :

Answer:

Step-by-step explanation:

Alright, lets get started.

The formula for volume of the cone is :

[tex]V=\frac{1}{3}\ \pi r^2h[/tex]

Please refer the diagram I have attached.

There is a right angle triangle formed.

Using Pythagorean theorem,

[tex]l^2=h^2+r^2[/tex]

[tex]13^2=h^2 + r^2[/tex]

[tex]h^2=169-r^2[/tex]

taking square root on both sides,

[tex]h=\sqrt{169-r^2}[/tex]

This is the answer h.

Hope it will help :)





Ver imagen stokholm