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Math Help - Relative rates of change.

  1. #1
    Member
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    Relative rates of change.

    I'm stuck on this problem: ( u = mu, since I don't know how to do the symbol)

    "A spherical cell is growing at a constant rate of 400 um^3/day (1 um = 10^-6 m). At what rate is its radius increasing when the radius is 10 um?"

    If someone could help me set this problem up, I'd appreciate it! Thanks!
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  2. #2
    Senior Member
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    Dec 2008
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    By the Chain Rule, we know that

    \frac{dV}{dt}=\frac{d}{dt}\left(\frac{4}{3}\pi r^3\right)=4\pi r^2\frac{dr}{dt}=400.
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