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Volumes with Cross Sections

AP Calculus AB· difficulty 3/5

Base on [0,2][0, 2] has height 11. Cross-sections are isoceles right triangles with leg = base width = 11. Volume:

  • A

    22

  • B

    12\tfrac{1}{2}

  • C

    14\tfrac{1}{4}

  • D

    11

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Explanation

Triangle area =12(1)(1)=1/2= \tfrac{1}{2}(1)(1) = 1/2. V=∫0212 dx=1V = \int_0^2 \tfrac{1}{2}\,dx = 1.

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