Question

which of the following equations is equivalent to $s = \pi r^2 h$?
\\(\circ\\) $h = s - \pi r^2$
\\(\circ\\) $h = \dfrac{s}{\pi r^2}$
\\(\circ\\) $h = \dfrac{\pi r^2}{s}$
\\(\circ\\) $h = s + \pi r^2$

Explanation:

Step1: Isolate $h$ via division

Divide both sides of $S = \pi r^2 h$ by $\pi r^2$.
$$\frac{S}{\pi r^2} = \frac{\pi r^2 h}{\pi r^2}$$

Step2: Simplify the equation

Cancel $\pi r^2$ on the right side.
$$h = \frac{S}{\pi r^2}$$

Answer:

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