Let R be the region in the first quadrant enclosed by the graphs of y = x², x = 2, and the x-axis. What is the volume of the solid generated when R is rotated about the y-axis? Зл 2 ○ 2TT O 4TT ○ 8TT

Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed when the region bounded in Quadrant I by the axes and the lines x = 9 and y = 5 is revolved about the a) x-axis b) y-axis

Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5 in. and 7in. is rotated about the 7in.leg. Use 227.

A frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the base. With dimensions are indicated, show that the volume of the frustum of the cone is V=13R2H13rh2