Mathematics

Mathematics

Problem

Calculate the volume, in cubic units, of the solid obtained when the region bounded by y=xy=\sqrt{x}, y=0y=0, and x=4x=4 is revolved about the vertical line x=6x=6. a) 128π5\displaystyle\frac{128\pi}{5} b) 96π5\displaystyle\frac{96\pi}{5} c) 192π5\displaystyle\frac{192\pi}{5} d) 232π5\displaystyle\frac{232\pi}{5}

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