Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the y-axis. y = x² 4 3 2+ 1 1 -2 w. 3 x 4

Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.

Find the exact volume of the solid that results when the region bounded in quadrant I by the axes and the lines x=9 and y=5 revolved about the a x-axis b y-axis

A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.