Answer:
[tex]h=\frac{a}{2\pi r}-r[/tex]
Step-by-step explanation:
The equation in this problem is:
[tex]a=2\pi r^2 + 2\pi r h[/tex]
We want to find an expression for h. Let's start by subtracting [tex]2\pi r^2[/tex] from both sides, we get:
[tex]a-2\pi r^2 = 2\pi rh[/tex]
Now we divide both sides by [tex]2\pi r[/tex], and we get:
[tex]\frac{a-2\pi r^2}{2\pi r} = h[/tex]
And by simplifying,
[tex]h=\frac{a}{2\pi r}-r[/tex]
