Question

The formula for the volume of a cylinder is V = arah, where r is the radius of the

cylinder and h is the height of the cylinder. Rewrite the formula to solve for h in
terms of r and V..

Answer 1

The formula to solve for h in terms of r and V is h = V/πr².

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

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

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

Now, dividing both sides by π:

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

And, dividing both sides by r²:

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

Therefore, the formula to solve for h in terms of r and V is h = V/πr².