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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?

Use 3.14 for pi.

Guest Apr 11, 2018
 #1
avatar+87714 
+2

The volume of the full tank  is  51 * 39 * 28   =  55692 cm^3 

And 95%  of this is 52907.4 cm^3

 

So.....the difference between these  is the amount of water required left to fill the tank  = 2784.6 cm^3  (1)

 

The volume of the log is    (3.14) (5)^2 (44)   = 3454 cm^3   (2)

 

So....the volume of water that spills out of the tank is just  (2) - (1)  =

 

3454  - 2784.6  =  

 

669.4  cm^3

 

 

cool cool cool

CPhill  Apr 11, 2018
 #2
avatar+1357 
+12

Awesome job!

IAmJeff  Apr 11, 2018

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