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Mr. Smith is making legs for a table. He starts with a wooden block in the shape of a rectangular prism and is in the process of shaving the block down to make a cylinder that is 37 inches in length, as shown in the diagram below. Which of the following is closest to the volume of wood that will be shaved off of the wooden block after Mr. Smith is finished making the cylindrical table leg?
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volume of wood shaved off = (volume of prism) - (volume of cylinder)
\(\large = 6*6*37 - \pi (2)^2(37)\)
simplify
=867.28
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