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:
[tex]h=\frac{V}{\pi r^2}[/tex]
Step-by-step explanation:
We have been given the equation [tex]V=\pi r^2h[/tex] and we have to solve this equation for h.
In order to isolate for h, we have to eliminate [tex]\pi r^2[/tex] from the right hand side of the equation.
We can see that [tex]\pi r^2[/tex] 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 [tex]\pi r^2[/tex]
[tex]\frac{V}{\pi r^2}=\frac{\pi r^2h}{\pi r^2}[/tex]
On simplifying, we get
[tex]h=\frac{V}{\pi r^2}[/tex]
