Chapter 8.3, Problem 47E

Find the volume of the solid of revolution generated by revolving the region in the first quadrant bounded by the x-axis and the graph of y = 4x – x² about the following. (a) the x-axis (b) the y-axis (c) the line x = 5 (d) the y = 4

Find the volume of the solid formed by revolving the curve defined by 9x²+4y²=36 about the line x+y=6.

find the lateral (side) surface area of the cone generated by revolving the line segment y=7/3x, 0 less than equal to x less than equal to 8 about the x-axis