Question

Find the missing measure for a right circular cone given the following information.

Find h ifr=5 and V = 100 x.
4

Answer 1

The height of the cone is
`h=12\ units`

Explanation:

we know that

The volume of a right circular cone is

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

In this problem we have

`r=5\ units`

`V=100\pi\ units^3`

so

the missing measure is the height h of the cone

substitute the given values in the formula and solve for h

`100\pi=(1)/(3)\pi (5)^(2)h`

Simplify the number π

`100=(1)/(3)(5)^(2)h`

`300=25h`

`h=300/25`

`h=12\ units`