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Math Help - Volume (Calculus)

  1. #1
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    Volume (Calculus)

    Use the cylindrical shell method to find the volume of the solid generated by revolving the region bounded by the curves about the y-axis.
    y = square root of x , y = 0 , x = 4

    I got the answer 256Π/15, but the book gave another answer. Can someone confirm wether I did this correctly or not? (I set r = 4 - x, h = y , and its with respect to x)
    Thanks for any help
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  2. #2
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    Hello, turtle!

    Use the cylindrical shell method to find the volume of the solid generated
    by revolving the region bounded by the curves about the y-axis:
    . . . y = sqrt{x}, y = 0, x = 4

    By using: r = 4 - x, you revolved it about the line x = 4.

    It should be: . V .= .2π ∫ x·sqrt{x} dx .= .2π ∫ x^{3/2} dx

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