GEOMETRY The volume of concrete used to makethe cylindrical concrete storage tank shown

Chapter 0, Problem 147

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GEOMETRY The volume of concrete used to makethe cylindrical concrete storage tank shown in thefigure is V R 2h r 2h, where R is the outsideradius, r is the inside radius, and h is the height of thestorage tank(a) Factor the expression for the volume.(b) From the result of part (a), show that the volumeof concrete is2 average radius thickness of the tank hc) An 80-pound bag of concrete mix yields 35 cubicfoot of concrete. Find the number of bags requiredto construct a concrete storage tank having thefollowing dimensions.Outside radius, R 4 feetInside radius,r 323 feetHeight, h feet(d) Use the table feature of a graphing utility to createa table showing the number of bags of concreterequired to construct the storage tank in part (c)with heights of h 12, h 1, h 32, h 2, . . . , h 6 feet.

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