Question

Formula for the surface area of a cylinder, SA = 2ar2 + 2arh. Solve for h.

Answer 1

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

Explanation:

Recall that the surface area A for a cylinder is given by:

`\displaystyle A=2\pi r^2+2\pi rh`

And we want to solve for the height h.

First, subtract
`2\pi r^2` from both sides. This yields:

`2\pi rh= A-2\pi r^2`

Now, we can dvide both sides by
`2\pi r`. This yields:

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

And we're done!