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nine solid metal spheres, each of radius 2 cm, are dropped into a cylinder partly filled with water. If the spheres are totally immersed, find the rise in the water if the radius of the cylinder is 3cm

  • math -

    volume of one ball = (4/3)π(2^3) = 32π/3 cm^3
    so 9 of them have a volume of 288π cm^3

    volume of water in cylinder = πhr^2
    9πh = 288π
    h = 288/9 cm or 32 cm

    the water will rise 32 cm

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