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Problem:If a square prism is inscribed in a right circular cylinder of radius 3 and height 6, the volume inside the cylinder but outside the prism is: (A) 2.14 (B) 3.14 (C) 61.6 (D) 115.6 (E) 169.6 Solution:(C)
Volume of the cylinder is pi * r^2 * h = pi * 9 * 6 = 54pi. Volume of prism = Bh, where B is the area of the square base, which is 3 * square root of 2 on a side. Thus, Bh = (3 * sqrt(2))^2 * 6 = 108. Therefore, the desired volume is 54pi  108, which is approximately 61.6.
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