Question

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.

Answer 1

Answer:

$h=\frac{SA}{2\pi r}-r$

Step-by-step explanation:

The surface area of a cylinder is equal to

$SA=2\pi r^{2} +2\pi rh$

Solve for h

That means ----> isolate the variable h

subtract  2πr² both sides

$(SA-2\pi r^{2})=2\pi rh$

Divide by 2πr both sides

$\frac{SA-2\pi r^{2}}{2\pi r}=h$

Rewrite

$h=\frac{SA-2\pi r^{2}}{2\pi r}$

Simplify

$h=\frac{SA}{2\pi r}-r$