16. You are designing a rectangular steel vat with a square base, an open top, and a volume of 32 ft³. (a) What dimensions will minimize the square footage of steel needed? (b) If the thicker steel for the bottom costs $4/ft? and the thinner steel for the sides costs only $2/ft?, what dimensions will minimize the cost of the tank?

16. You are designing a rectangular steel vat with a square base, an open top, and a volume of 32 ft³. (a) What dimensions will minimize the square footage of steel needed? (b) If the thicker steel for the bottom costs $4/ft? and the thinner steel for the sides costs only $2/ft?, what dimensions will minimize the cost of the tank?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...

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