Volumes by Disk and Washer Methods

AP Calculus AB· difficulty 3/5

Rotating y=xy = x, 0x30 \le x \le 3 about the xx-axis. Volume is

  • A

    27π27\pi

  • B

    3π3\pi

  • C

    9π9\pi

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  • D

    π\pi

Explanation

V=π03x2dx=π9=9πV = \pi\int_0^3 x^2\,dx = \pi \cdot 9 = 9\pi.

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