Question

5. Which equation is solved for the height of the cone based on theinformation given below ?

Answer 1

The equation for the Volume (V) of the cone given is,

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

We are to isolate 'h' in the equation above

SOLUTION

Multiply both sides by 3

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

Simplify

`3V=\pi r^2h`

Divide both sides by πr²

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

Simplify

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

Hence, the answer is

`h=(3V)/(\pi r^2)\text{ (OPTION D)}`