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Volume of Solid from Revolution

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Let R be the region bounded by the graphs of

x - 2y - 8 = 0, and y=(x-6)/(x-3)

a) Determine the VOLUME of the solid of revolution when R is revolved about the y-axis, using any suitable method.

b) Also determine the volume of the solid revolution when R as defined above is revolved about the line y + 2 = 0, by any method.

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This solution offers detailed step-wise calculation along with graphs and reference, to show how to solve an integration problem related to solid of revolution, so that the student can solve similar problems on her own.

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Solution provided by:
Tania Dey, PhD
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  • MSc,
  • PhD,
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