calculus

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The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 80 mm?
mm^3/s

  • calculus -

    V = (4/3)*pi*r^3
    dV/dt = 4*pi*r^2*(dr/dt)

    In this case, dr/dt = 2 mm/s and
    r = 80 mm

    Do the calculation for dV/dt

  • calculus -

    12800pi

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