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I have spilled 200cm^3 of vegetable oil on my kitchen floor. The resulting oil slick can be modeled as a cylinder with a very small height; the height is decreasing at a rate of 1/1000πcm/sec and the radius is currently 50cm.

How quickly is the radius of the oil slick increasing, in cm/sec?

  • calculus - ,

    V=PI*r^2 h
    dv/dt=0=PIr^2 dh/dt + 2PI r h dr/dt

    solve for dr/dt, you are given dh/dt.

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