Mathematics

10th -

12thgrade

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Volumes of Revolution

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9 questions

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  • 1. Multiple Choice
    5 minutes
    1 pt
    Find the volume of the solid of revolution obtained by rotating the region in bounded by y = x3 + 1, x = 1 and y = 1 about the y-axis.
    11π/3
    4π/13
    3π/7
    2π/5
  • 2. Multiple Choice
    5 minutes
    1 pt
    What is the volume of the solid generated by rotating the region enclosed by y = sin(x) and the x-axis, from x = 0 to x = π about the y-axis?
    π2
    2
    2
    4
  • 3. Multiple Choice
    5 minutes
    1 pt
    If the region enclosed by the y-axis, y = 2 and the curve y = √x is revolved about the y-axis, what is the volume of the solid generated?
    32π/5
    16π/3
    16π/5
    8π/3
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