Explained: AP Calculus AB/BC 2021 FRQ #3

AP Calculus AB free response question #3. A company designs spinning toys using the family of functions y = cx*sqrt(4-x^2) , where c is a positive constant. The figure above shows the region in the first quadrant bounded by the x-axis and the graph of y = cx*sqrt(4-x^2) , for some c. Each spinning toy is in the shape of the solid generated when such a region is revolved about the x-axis. Both x and y are measured in inches. 0:00 Intro 0:05 Part A 3:15 Part B 5:31 Part C 7:23 Point Prediction