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Thread: Finding volume using integrals: base x^2 + y^2 = 4, cross-sections perp to x-axis are

  1. #1

    Finding volume using integrals: base x^2 + y^2 = 4, cross-sections perp to x-axis are

    Hi all! I hope all is well. I am struggling with this problem:

    The base of a solid is the unit circle x^2 + y^2 = 4, and its cross-sections perpendicular to the x-axis are rectangles of height 10. Find its volume.


    I know I need take the integral of the area of the rectangle, so I what I did was A=lw, A=10*sqroot(x^2-4), but when I integrate that it doesn't work out! Any help would be appreciated! Thanks!

  2. #2
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    Quote Originally Posted by lifelonglearner26 View Post
    Hi all! I hope all is well. I am struggling with this problem:

    The base of a solid is the unit circle x^2 + y^2 = 4, and its cross-sections perpendicular to the x-axis are rectangles of height 10. Find its volume.


    I know I need take the integral of the area of the rectangle, so I what I did was A=lw, A=10*sqroot(x^2-4), but when I integrate that it doesn't work out! Any help would be appreciated! Thanks!
    Exactly what did you integrate and how. Include limits of integration.

    Please share detailed work.
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

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