My Math Forum Application of Integration: Volume of a Region

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 December 14th, 2016, 06:31 AM #1 Newbie   Joined: Dec 2016 From: Malaysia Posts: 1 Thanks: 0 Application of Integration: Volume of a Region Q16. Find the volume of the solid of revolution when the region bounded by the curve y = ¼ (4 – x)2 and y = ½ (4 – x2) and the y-axis when the bounded region R rotates 2π rad about the y-axis. I really have no idea on doing it. I really need some help
December 14th, 2016, 06:44 AM   #2
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exponents are denoted by using the caret symbol. x squared is written x^2

check your placement of the exponents for the two parabolas ...

Did you mean $y=\dfrac{(4-x)^2}{4}$ and $y=\dfrac{4-x^2}{2}$ ?

As written, there is no bounded region for rotation unless the x-axis or some other curve is included. See attached graph.
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