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17 February, 18:17

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 7 feet and a height of 14 feet. Container B has a radius of 8 feet and a height of 10 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot? play

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  1. 17 February, 18:30
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    Answer: the volume of water remaining in Container A is 144.4ft³

    Step-by-step explanation:

    The formula for determining the volume of a cylinder is expressed as

    Volume = πr²h

    Where

    r represents the radius of the cylinder.

    h represents the height of the cylinder.

    π is a constant whose value is 3.14

    Considering container A,

    Radius = 7 feet

    Height = 14 feet

    Therefore,

    Volume of water in a completely filled container A is

    3.14 * 7² * 14 = 2154.04 ft³

    Considering container B,

    Radius = 8 feet

    Height = 10 feet

    Volume of water that will fill container B is

    3.14 * 8² * 10 = 2009.6 ft³

    Therefore, the volume of water remaining in Container A is

    2154.04 - 2009.6 = 144.4ft³
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