Kindly solve the problem with step by step solution thank you Note: Volume of a cylinder is r²h, where is the radius and h is the height.A closed wood storage having a volume of 27 in.³ is to be in the form of a right-circular cylinder.The circular top and bottom are cut from square pieces of wood. Using calculus, Calculate theradius and height of the wood storage if the least amount of wood is to be used in itsmanufacture. Include the wood that is wasted when obtaining the top and bottom.

Answered: Note: Volume of a cylinder is r²h,…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 51AR

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Similar questions

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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.
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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.
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