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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.

 

My answer:

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.

Gwendolynkristine  Jun 1, 2017
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 #1
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The  tank can hold  55692 cm^3     (1)

 

The volume of the log  plus the volume of the water in the tank  =

 

pi ( 5)^2 * 44  +  55692 (.95)   ≈  56363.2  cm^3     (2)

 

So   the approximate volume that spills out  =    (2)  - (1)  ≈ 671.152  cm^3

 

Our answers differ probably due to rounding......but.....close enough  !!!!

 

 

 

cool cool cool 

CPhill  Jun 1, 2017

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