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A fish tank, in the shape of a rectangular prism with dimensions 51 centimeters by 39 centimeters by 28 centimeters, 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 5 centimeters and a height of 44 centimeters.

How much water spills out of the tank?

Enter your answer in the box. Use 3.14 for pi.

 cm³

 Apr 1, 2019
 #1
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Volume of tank = 51 x 39 x 28  = 55962 cm^3         95%=52907.4

Volume of log = pi r^2 h = 3.14 * 5^2 * 44 = 3454 cm^3

 

95% of tank  +  volume of log      -   Volume of tank = spillage 

52907.4         + 3454                  -    55962               = 399.4 cm^3

 Apr 1, 2019

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