Calculus I

The base of a solid is the circle x^2 + y^2 = 9. Cross sections of the solid perpendicular to the x-axis are squares. What is the volume, in cubic units, of the solid?

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asked by Jer
  1. each square of thickness dx has side 2y, so its area is 4y^2.

    Adding up all the thin squares, and using symmetry,


    v = 2∫[0,3] 4(9-x^2) dx

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    posted by Steve
  2. Awsome...thnx

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