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related rates calculus problem

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A balloon is being filled with air at a rate of 3 cubic meters per minute. Find the rate at which the radius is changing when the volume is 113.0973355 cubic meters.

  • related rates calculus problem -

    V = (4/3)πr^3
    dV/dt = 4πr^2 dr/dt

    we know dV/dt, but we have to find r

    113.0973355 = (4/3)πr^3 , ( I am sure they gave you that number as 36π)
    r^3 = 27
    r = 3

    subbing in
    3 = 4π9) dr/dt
    dr/dt = 1/(3π) m/min

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