5-10 Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. 8. y = (x-2)², y = x + 10; about the x-axis

YOUR TURN Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by y=x2+1, y=0, x=1 and x=1.

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.

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