SAT Question 151eda3c: Area and Volume answer and explanation with Desmos solution

Choice B is correct. If the radius of container A is $16$ centimeters and the radius of container B is $25\%$ longer than the radius of container A, then the radius of container B is $16+0.25\times 16=20$ centimeters. The volume of a cylinder is $\pi \times r^2\times h$, where $r$ is the radius of the cylinder and $h$ is its height. Substituting $r=20$ and $h=50$ into $\pi \times r^2\times h$ yields that the volume of cylinder B is $\pi \times (20{)}^2\times 50=20,000\pi$ cubic centimeters.