Volumes by Disk and Washer Methods

AP Calculus AB· difficulty 3/5

Rotate y2=4xy^2 = 4x from x=0x = 0 to x=4x = 4 about the xx-axis:

  • A

    64π64\pi

  • B

    32π32\pi

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  • C

    8π8\pi

  • D

    16π16\pi

Explanation

V=π044xdx=π32=32πV = \pi\int_0^4 4x\,dx = \pi \cdot 32 = 32\pi.

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