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Thread: Calculate the volume of a solid (pt 2)

  1. #1
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    Calculate the volume of a solid (pt 2)

    Hey sorry I know I just recently asked about this but there's another question I am having issues with. I am unsure how to proceed with 2.c) from the following picture and I have included the work I have so far (not sure how correct it is though. Thanks in advance!Calculate the volume of a solid (pt 2)-14962537189111348717898.jpgCalculate the volume of a solid (pt 2)-1496253768037-1022816221.jpg
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  2. #2
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    Re: Calculate the volume of a solid (pt 2)

    region bounded by $y=1-x^2$ and $y=0$, rotated about the x-axis ...

    disk method ...

    $\displaystyle V = \pi \int_{-1}^1 (1-x^2)^2 \, dx$

    taking advantage of symmetry ...

    $\displaystyle V = 2\pi \int_0^1 (1-x^2)^2 \, dx$
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