The distance from the center of the rectangle to the axis of revolution is p(X) X, and the height of the rectangile h(x) = 36 - x .2 %3D Step 2 To find the volume of a solid of revolution with the shell method, use the following formula. Volume = V = 2n p(x)h(x) dx Because x ranges from 0 to 6, the volume of the solid is V = 2n p(x)h(x) dx = 2n 36 – y (36 – x2) dx. !! %3! Submit Skip (you cannot come back) eBook Submit Answer

The distance from the center of the rectangle to the axis of revolution is p(X) X, and the height of the rectangile h(x) = 36 - x .2 %3D Step 2 To find the volume of a solid of revolution with the shell method, use the following formula. Volume = V = 2n p(x)h(x) dx Because x ranges from 0 to 6, the volume of the solid is V = 2n p(x)h(x) dx = 2n 36 – y (36 – x2) dx. !! %3! Submit Skip (you cannot come back) eBook Submit Answer

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

See similar textbooks

Similar questions

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.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. The frustum of a right circular cone has a larger base area of 40.0 square centimeters and a smaller base area of 19.0 square centimeters. The height is 22.0 centimeters. Find the volume. Round the answer to the nearest cubic centimeter.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the height of a prism with a base area of 2.7 square feet and a volume of 4.86 cubic feet.
A piece in the shape of a pyramid with a regular octagon (eight sided) base is machined from a solid block of bronze. Each side of the octagon base is 9.36 inches long. The height of the piece is 7.08 inches. The octagon base area 4.829, where s is the length of a side of the octagon. a. Determine the volume of the piece. Round the answer to the nearest cubic inch. b. Determine the weight of the piece. Round the answer to the nearest pound. Note: One cubic foot of the bronze used weighs 547.9 pounds per cubic foot.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A vessel in the shape of a right circular cone has a capacity of 0.690 liter. The base diameter is 12.30 centimeters. What is the height of the vessel? One liter contains 1000 cubic centimeters.
y=6-2x-x^2; y=x+6 The volume of the solid generated by revolving about x-axis is ___________ to the volume of the solid generated by revolving about the line y=3 > greater than > less than > cannot be determined > equal