Question

solve the formula for the specified variable.
s = 2πrh + 2πr² for h
a h = \frac{s}{2\pi r}-1
b h = 2π(s - r)
c h = s - r
d h = \frac{s - 2\pi r^{2}}{2\pi r}

Explanation:

Step1: Isolate the term with h

Subtract $2\pi r^{2}$ from both sides of the equation $S = 2\pi rh+2\pi r^{2}$. We get $S - 2\pi r^{2}=2\pi rh$.

Step2: Solve for h

Divide both sides of the equation $S - 2\pi r^{2}=2\pi rh$ by $2\pi r$. So, $h=\frac{S - 2\pi r^{2}}{2\pi r}$.

Answer:

D. $h=\frac{S - 2\pi r^{2}}{2\pi r}$