Calculating Cost of Wheels HSG.GMD.A.3

roadroller

A construction company is designing new road rollers. The wheels of each road roller are made out of steel. The wheels are designed in a cylindrical shape in addition to having a smaller cylinder cut out of the center for the axel to fit through as shown in the picture below. The radius of the larger cylinder measures 2 ft., the radius of the cut-out cylinder measures 0.5 ft., and the length of the wheel measures 6 ft. From the diagram, this would mean R = 2 ft., r = 0.5 ft., and h= 6 ft. If the cost of steel is $2.40 per cubic foot, what is the cost of the steel to construct one wheel? Show your calculations and round your answer to two decimals.

cylinder

To view an assessment commentary and solution, follow the link below.

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