Question

Solve the formula for the volume of a cone for the height of the cone, h. V = pi*r^2*2h

Answer 1

L*S*A=pi(rl) l=slant

Answer 2

The formula for h is
`h=(3V)/(\pi r^2)`

Explanation:

Given : The formula for the volume of a cone,
`V=(1)/(3) \pi r^2h`

To find : Solve the formula for the volume of a cone for the height of the cone, h ?

Solution :

The formula for the volume of a cone,
`V=(1)/(3) \pi r^2h`

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

To solve for h,

Multiply both side 3,

`3V=\pi r^2h`

Divide both side by
`\pi r^2`

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

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

Therefore, The formula for h is
`h=(3V)/(\pi r^2)`