SOLUTION: A fish tank, in the shape of a rectangular prism with dimensions 51 cm by 39 cm by 28 cm, is 95% filled with water. A solid log is placed into the tank, sinks to the bottom, and ma

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Question 1083404: A fish tank, in the shape of a rectangular prism with dimensions 51 cm by 39 cm by 28 cm, 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 cm and a height of 44 cm.
How much water spills out of the tank?
Use 3.14 for pi.
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
The volume of the tank is 51*39*28 = 55692 cm^3.


The volume of the empty part of the tank is 5% of it, i.e. 0.05*55692 = 2784.6 cm^3.


The volume of the cylinder is  =  = 3454 cm^3.


Since the cylinder is fully submerged into water, the volume of water which is spilled out is

3455 - 2784.6 = 669.4 cm^3.


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