Answer:
The formula to solve for h in terms of r and V is h = V/πr².
Step-by-step explanation:
Given:
V = area, r = radius and h = height of the cylinder.
Now, to solve for h in terms of r and V, we put the formula of volume:
Volume = area×height
Area=πr²
[tex]V=\pi r^{2}h[/tex]
[tex]V=\pi r^{2}h[/tex]
Now, dividing both sides by π:
[tex]\frac{V}{\pi} = r^{2}h[/tex]
And, dividing both sides by r²:
[tex]\frac{V}{\pi r^{2}} = h[/tex]
Therefore, the formula to solve for h in terms of r and V is h = V/πr².