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

Answer:

$h=\frac{V}{\pi r^2}$

Step-by-step 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  $\pi r^2$

$\frac{V}{\pi r^2}=\frac{\pi r^2h}{\pi r^2}$

On simplifying, we get

$h=\frac{V}{\pi r^2}$