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A spherical balloon is inflated with helium at the rate of 100pi ft ^3/min. How fast is the ballon's radius increasing at the instant the radius is 5ft.?

  • Math -

    v = 4/3 pi r^3
    dv/dt = 4 pi r^2 dr/dt

    100 = 4 pi * 25 dr/dt
    dr/dt = 1/pi

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