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

Hello from MrBillDoesMath

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

Step-by-step explanation:

We have been given the equation and we have to solve this equation for h.

In order to isolate for h, we have to eliminate from the right hand side of the equation.

We can see that   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  

On simplifying, we get