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13 January, 02:00

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 8 feet and a height of 8 feet. Container B has a diameter of 6 feet and a height of 13 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?

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  1. 13 January, 02:36
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    Answer: 91.4%

    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 cylinder A,

    Height = 8ft

    Diameter = 8 ft

    Radius = diameter/2 = 8/2 = 4ft

    Therefore,

    Volume = 3.14 * 4² * 8 = 401.92ft³

    Considering cylinder B,

    Height = 13ft

    Diameter = 6 ft

    Radius = diameter/2 = 6/2 = 3ft

    Therefore,

    Volume = 3.14 * 3² * 13 = 367.38ft³

    The volume of Container A that would be left empty after container B is pumped into it is

    367.38ft³

    the percent of Container A that is empty after the pumping is complete is

    367.38/401.92 * 100 = 91.4%
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