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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Mathematics

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15 March, 19:49

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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Answers (1)

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Zack Arnold · Answer 1

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