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Volumes by Disk and Washer Methods

AP Calculus AB· difficulty 3/5

Rotating y=xy = \sqrt x, 0≤x≤40 \le x \le 4, about the xx-axis:

  • A

    16π16\pi

  • B

    163π\tfrac{16}{3}\pi

  • C

    4π4\pi

  • D

    8π8\pi

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Explanation

V=π∫04x dx=π⋅8=8πV = \pi\int_0^4 x\,dx = \pi \cdot 8 = 8\pi.

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