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March 27, 2017

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Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y=x^2
y=0
x=3
about the y-axis

  • Calculus [Finding volume of solid] - ,

    make a sketch
    this one is easier than the others you posted

    volume about the y-axis
    = π∫x^2 dy

    = π∫y dy from y = 0 to 9
    = π [ (1/2)y^2 ] from 0 to 9
    = π (81/2 - 0)
    = 81π/2

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