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

`h=(SA)/(2\pi r)-r`

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

`(SA-2\pi r^(2))/(2\pi r)=h`

Rewrite

`h=(SA-2\pi r^(2))/(2\pi r)`

Simplify

`h=(SA)/(2\pi r)-r`