SAT Question cecbdeba: Area and Volume answer and explanation with Desmos solution

Choice A is correct. The volume, $V$, of a right circular cylinder is given by the formula $V=\pi r^{2}h$, where $\pi r^2$ is the area of the base of the cylinder and $h$ is the height. It's given that a right circular cylinder has a volume of $432$ cubic centimeters and the area of the base is $24$ square centimeters. Substituting $432$ for $V$ and $24$ for $\pi r^2$ in the formula $V=\pi r^{2}h$ yields $432=24h$. Dividing both sides of this equation by $24$ yields $18=h$. Therefore, the height of the cylinder, in centimeters, is $18$.