How do you find the volume of a cylinder from surface area

rA/2 = V

Step-by-step explanation:

Let's ignore the ends.

If the cylinder has radius r and height h, then the surface area is A = 2πrh. The 2πr factor is the circumference of the cylinder. For later use, let's solve this for πrh: πrh = A/2.

The volume of the cylinder is V = πr²h, where πr² is the area of the base.

This V = πr²h can be factored so that one of the factors is the area A of the sides of the cylinder: V = πr²h = r*πrh = r * (A/2) = rA/2 = V