Optimization

AP Calculus AB· difficulty 4/5

h r

A cylinder has fixed volume V=πr2hV = \pi r^2 h. Express hh in terms of rr and VV:

  • A

    h=πr2/Vh = \pi r^2 / V

  • B

    h=Vπr2h = V \pi r^2

  • C

    h=2πrh = 2\pi r

  • D

    h=V/(πr2)h = V/(\pi r^2)

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Explanation

Solving V=πr2hV = \pi r^2 h gives h=V/(πr2)h = V/(\pi r^2).

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