The surface are of a cylinder is given by the formula SA=2pir^2+2pirh, where r is the radius of the base of the cylinder and h is the height of the cylinder. Solve the formula for h in the space given below. show all the steps.

A = 2πr2 + 2πrh is the final answer

h = (x-2πr²) / 2πr

Step-by-step explanation:

Given the surfaces area of a cylinder by the formula

SA = 2πr²+2πrh

To solve for h means making h the subject of the formula from the equation.

Let x be the surface area of the cylinder. The formula can be rewritten as;

x = 2πr²+2πrh

Subtracting 2πr² from both sides of the equation will give;

x-2πr² = 2πr²+2πrh-2πr²

x-2πr² = 2πrh

Dividing both sides by 2πr wikk results into;

(x-2πr²) / 2πr = 2πrh/2πr

h = (x-2πr²) / 2πr where x is the surface area of the cylinder.