Volumes by Disk and Washer Methods

AP Calculus AB· difficulty 3/5

The disk method computes a volume of revolution around the xx-axis as

  • A

    ab2πf(x)dx\int_a^b 2\pi f(x)\,dx

  • B

    abf(x)dx\int_a^b f(x)\,dx

  • C

    abπ[f(x)]2dx\int_a^b \pi [f(x)]^2\,dx

    check_circle
  • D

    ab2πxf(x)dx\int_a^b 2\pi x\,f(x)\,dx

Explanation

Each disk has radius f(x)f(x) and thickness dxdx → volume π[f(x)]2dx\pi[f(x)]^2\,dx.

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