SAT Question 93de3f84: Area and Volume answer and explanation with Desmos solution

Choice C is correct. The volume of right circular cylinder A is given by the expression $\pi r^2\times h$, where $r$ is the radius of its circular base and $h$ is its height. The volume of a cylinder with twice the radius and half the height of cylinder A is given by $\pi \times (2r{)}^2\times \frac{1}{2}h$, which is equivalent to $4\pi r^2\times \frac{1}{2}h=2\pi r^2\times h$. Therefore, the volume is twice the volume of cylinder A, or $2\times 22=44$.