Αα %= lúc 21:37 ngày 18 tháng 4 11-28 Find the volume of the solid obtained by rotating th region bounded by the given curves about the specified line Sketch the region, the solid, and a typical disk or washer. 19. y=x³, y = √√x; about the x-axis 20. x = 2y2, x = y; about the y-axis 21. y = x², x = y²; about y = 1

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.

A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can, and let h denote the height, both in inches. a. Express the total surface area S of the can, using x and h. Note: The total surface area is the area of the top plus the area of the bottom plus the area of the cylinder. b. Using the fact that the total area is 40 square inches, express h in terms of x. c. Express the volume V of the can in terms of x.

YOUR TURN Repeat Example 4 for r=1.25mm with a maximum error in the radius of 0.025mm. Example 4 Error Estimation In a precision manufacture process, ball bearings must be made with a radius of 0.6mm, with a maximum error in the radius of 0.015mm. Estimate the maximum error in the volume of the ball bearing.