SAT Question ebf3a962: Area and Volume answer and explanation with Desmos solution

The volume, $V$, of a right circular cylinder is given by the formula $V=\pi r^{2}h$, where $r$ is the radius of the base of the cylinder and $h$ is the height of the cylinder. It’s given that the right circular cylinder has a height of $16$ inches and a volume of $3,136\pi$ cubic inches. Substituting $16$ for $h$ and $3,136\pi$ for $V$ in the formula $V=\pi r^{2}h$ yields $3,136\pi =\pi r^2(16)$, or $3,136\pi =16\pi r^2$. Dividing both sides of this equation by $16\pi$ yields $196=r^2$. Since $r$ represents the radius of the cylinder, the value of $r$ is positive. Taking the positive square root of both sides of this equation yields $r=14$. Therefore, the radius, in inches, of the cylinder is $14$.