Chapter 8.3, Problem 4E

Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines. y = x? y = 6x – x2 (a) the x-axis (b) the line y = 10

Determine the diameter of a hole that is drilled vertically through the center of the solid bounded by the graphs of the equations z-29e-(x2 + y2)/4, z = 0, and x² + y2 = 25 if one-tenth of the volume of the solid is removed. (Round your answer to four decimal places.) Need Help? Read it Watch It

Find the volume of the described solid. 7) The solid lies between planes perpendicular to the x-axis at x = -5 and x = 5. The cross sections perpendicular to the x-axis are circular disks whose diameters run from the parabola y = x² to the parabola y = 50-x². Include a graph as part of your answer.