Volumes by Disk and Washer Methods

AP Calculus AB· difficulty 3/5

Cone of radius RR, height HH via y=(R/H)xy = (R/H) x, 0xH0 \le x \le H, revolved:

  • A

    23πR2H\tfrac{2}{3}\pi R^2 H

  • B

    13πR2H\tfrac{1}{3}\pi R^2 H

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  • C

    πR2H\pi R^2 H

  • D

    12πR2H\tfrac{1}{2}\pi R^2 H

Explanation

Standard cone volume formula confirmed by integration.

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