Question

Solve for h: v = pi squared multiplied by h h = V multiplied by pi over r squared h = V over pi r squared h = V plus pi r squared h = V minus pi r squared

Answer 1

Hello from MrBillDoesMath

Answer:

See below for steps.

Discussion:

As I understand the problem statement we have a cylinder of height h and radius r. The volume of the cylinder is given by the formaul:

V = (pi * r^2) h

Divide both sides by (pi * r^2):

V\ (pi * r^2)) = ( (pi * r^2) * h ) \ ((pi * r^2) =>

V\ (pi * r^2) = 1 * h = h as (pi * r^2) \ (pi * r^2))

Therefore, h = V\ (pi * r^2)

Thank you,

Mr. B

Answer 2

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

Explanation:

We have been given the equation
`V=\pi r^2h` and we have to solve this equation for h.

In order to isolate for h, we have to eliminate
`\pi r^2` from the right hand side of the equation.

We can see that
`\pi r^2` is in multiplication with h in the right hand side. Hence, in order to get rid of this, we can do the opposite operation of multiplication i.e. division.

Hence, divide both sides by
`\pi r^2`

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

On simplifying, we get

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