Volumes with Cross Sections

AP Calculus AB· difficulty 3/5

Base bounded by y=xy = \sqrt x and xx-axis on [0,4][0, 4]. Cross-sections perpendicular to xx-axis are squares. Volume?

  • A

    643\tfrac{64}{3}

  • B

    3232

  • C

    1616

  • D

    88

    check_circle

Explanation

V=04(x)2dx=04xdx=8V = \int_0^4 (\sqrt x)^2\,dx = \int_0^4 x\,dx = 8.

Want 10 more like this — adaptive to your weak spots?

Related questions