SOLUTION: a cylindrical tank 5 ft in diameter and 10 ft high is half full of water. if the water level rises to 7 ft after putting a cubical stone in the tank, find the edge of the cube

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Question 1013447: a cylindrical tank 5 ft in diameter and 10 ft high is half full of water. if the water level rises to 7 ft after putting a cubical stone in the tank, find the edge of the cube

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
volume of a cylinder is pi*r^2h
at 5 feet, it is pi*2.5^2*5=31.25 pi
at 7 feet, it is pi*2.5^2*7=43.75 pi
The difference is 12.5 pi=39.27 cubic feet
That is the volume of the cube.
A side is the cube root of the volume.
3.40 feet is the length of the side.

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