Calculus

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A spherical ball is being filled with air. When the radius r=9cm, the radius is increasing at a rate 4 cm/s. How fast is the volume changing at this time (leave your answer approximate)?

  • Calculus -

    V= 4/3 pi r^3
    V= 4pi r^2 dt/dv
    4= 4 pi (9)^2 dt/dv
    1/81 pi

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