SAT Question a2659088: Area and Volume answer and explanation with Desmos solution

Choice D is correct. The volume, $V$, of a right circular cylinder is given by $V=\pi r^{2}h$, where $r$ is the radius of the circular base and $h$ is the height of the cylinder. It's given that the cylinder has a height of $8$ meters and a base with a radius of $12$ meters. Substituting $12$ for $r$ and $8$ for $h$ in $V=\pi r^{2}h$ yields $V=\pi (12{)}^2\left(8\right)$, or $V=1,152\pi$. Therefore, the volume, in ${\text{m}}^3$, of the cylinder is $1,152\pi$.