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12 May, 16:31

A fish tank, in the shape of a rectangular prism with dimensions 40 in. by 17 in. by 26 in., is 95% filled with water. A solid log is placed into the tank, sinks to the bottom, and makes water spill out. The log is shaped like a cylinder with a radius of 3 in. and a height of 33 in. How much water spills out of the tank? Enter your answer in the box. Use 3.14 for pi.

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  1. 12 May, 16:36
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    We to need to solve volumes of the first tank (a rectangular prism) and solid log (a cylinder).

    The solution for the volume of the fish tank is shown below:

    volume = l*w*h

    volume = 40*17*26

    Volume = 17,680 in³

    Only 95% filled with water:

    Volume filled w / water = 17, 680 * 0.95 = 16,796 in³

    The solution for the volume of the solid log:

    Volume = pi*r²*h

    Volume = 3.14*3²*33 = 932.58 in²

    The volume of the remaining water spilled out is shown below:

    Remaining water volume = 16, 796 in³ - 932.58 in² = 15,863.42 in²

    Volume spilled out = 932.58 in³
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