Anthony T. answered • 03/28/21

Patient Math & Science Tutor

This is a problem involving rotating the curve 360 degrees around the x axis. If you divide the function into slices from 0 to y and rotate that about the x axis, the volume of the slice would be

πy^{2}Δx. Summing these from 0 to 15cm as Δx → 0 is the integral of πy^{2}dx between 0 and 15 where y is the function given.

My integration skills have weakened, so maybe you can finish the problem.