Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The formula for the surface area of a cylinder is:

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

And we want to solve for the height h.

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

$2\pi rh=SA-2\pi r^2$

Now, divide both sides by $2\pi r$. This yields:

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

And we're done!