a rectangular container with dimensions 10 inches by 15 inches by 20 inches is to be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches, what is the maximum number of full cups of water that can be placed in the container without it overflowing?

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  1. Calculate the volume of the container:
    Vc = 10*15*20 = 3000 in³

    Calculate the volume of the cylindrical cup:
    Vp= πr²h = π*2²*5 = 62.832 in³

    Maximum number of cups without overflow
    = 3000/62.832
    = 47.75 cups
    Therefore, up to 47 cups, the container will not overflow.

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