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math

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a boy is blowing a spherical balloon at a rate of 50 cm3/s.at what rate is the radius of the balloon changing when the radius is 10 cm?give your answer to 2 decimal places.

  • math -

    dV/dt = 50 cm^3/s

    V = (4/3)πr^3
    dV/dt = 4πr^2 dr/dt
    so when r = 10

    50 = 4π(100) dr/dt
    dr/dt = 1/(8π) cm/s = ... you do the button pushing,

    (no calculator needed up to this point. )

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