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13 September, 02:24

A fish tank, in the shape of a rectangular prism with dimensions 40 inches by 17 inches by 26 inches, 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 inches and a height of 33 inches. how much water spills out of the tank? enter your answer in the box. use 3.14 for pi.

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Answers (2)
  1. 13 September, 02:44
    0
    Answer: The answer is 48.58
  2. 13 September, 06:15
    0
    Answer: 15863.42 inches³

    Step-by-step explanation:

    The formula for determining the volume of a rectangular prism is expressed as

    Volume = length * width * height

    The sum of the prism are 40 inches by 17 inches by 26 inches. Therefore, the volume of the fish tank is

    Volume = 40 * 26 * 17 = 17680inches³

    The tank is 95% filled with water. This means that the volume of the tank filled with water is

    95/100 * 17680 = 0.95 * 17680 = 16796 inches³

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

    Volume = πr² h

    The cylindrical log has a radius of 3 inches and a height of 33 inches.

    Volume = 3.14 * 3² * 33 = 932.58 inches³

    The amount of water that spills out of the tank would be

    16796 - 932.58 = 15863.42 inches³
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