Question

Given the following formula, solve for h.

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

Answer 1

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

Explanation:

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

We have to solve the formula for h.

Consider the given formula
`V=(1)/(3)\pi r^2h`

Multiply both side by 3, we have,

`3V=\pi r^2h`

Now, divide both side by π, we get,

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

Again divide both side by r², we get,

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

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

Answer 2

Multiply by the inverse of the coefficient of h.


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