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A cylindrical garden compost container with a circular base of diameter a and height y is to be made to contain 271 fts of soil.

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A cylindrical garden compost container with a circular base of diameter a and height y is to be made to contain 271 fts of soil. The container does not have a lid, that is, the container has an open top. What are the dimensions of the container that minimize the amount of material used to build the container ? Hint: The area of a circle of radius r is mr2. A cylinder (with bottom and top lid) with height h and radius r has volume mr-h, and has surface area 2rrh + 2mr. Ox - 2V3 ft and y = 9 ft. Ox =3(2) 3 ft and y = 304ft. Ox = 2 ft and y = 27 ft. Ox = 18 ft and y I ft . Ox = 6 ft and y = 3 ft

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