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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 yaxis when the bounded region R rotates 2π rad about the yaxis. I really have no idea on doing it. I really need some help 
December 14th, 2016, 06:44 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,982 Thanks: 1575 
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 $y=\dfrac{(4x)^2}{4}$ and $y=\dfrac{4x^2}{2}$ ? As written, there is no bounded region for rotation unless the xaxis or some other curve is included. See attached graph. 

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application, integration, region, volume 
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