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Math Help - [SOLVED] Volume of solid obtained by rotsting the bounded region

  1. #1
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    [SOLVED] Volume of solid obtained by rotsting the bounded region

    Find the volume of the solid obtained by rotating the bounded region in the first quadrant enclosed by the graphs of y=x2, x=y^4 about the x-axis.

    Here's what i did:
    r1=1+y
    r2=sqrt(y)-y^4

    2pi 0--1 (1+y)(sqrt(y)-y^4)dy

    I integrated this and got 7pi/5 which is incorrect. Are my radii and formula correct? If not, could someone please correct it? Thanks
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  2. #2
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    Quote Originally Posted by yzobel View Post
    Find the volume of the solid obtained by rotating the bounded region in the first quadrant enclosed by the graphs of y=x2, x=y^4 about the x-axis.

    Here's what i did:
    r1=1+y
    r2=sqrt(y)-y^4

    2pi 0--1 (1+y)(sqrt(y)-y^4)dy

    I integrated this and got 7pi/5 which is incorrect. Are my radii and formula correct? If not, could someone please correct it? Thanks
    I assume it's y = x^2

    washers w/r to x ...

    V = \pi \int_0^1 \sqrt{x} - x^4 \, dx
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