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# Volume and water displaced.

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When a chunk of iron is completely submerged into a cylindrical tank of water, the water rises 6 inches. The diameter of the tank is 18 inches. What is the volume of the chunk of iron?

https://brainmass.com/math/algebraic-geometry/volume-water-displaced-35592

## SOLUTION This solution is FREE courtesy of BrainMass!

As the chunk is submerged in water it requires space equal to its volume and hence displacing water equal to its volume, this displaced water is responsible to raise the level of water hence the volume of the chunk is equal to the extra volume occupied by water. So

V = extra volume occupied by water in the tank(cylindrical)
= pie x R^2 x L (where R is the radius of tank and L is raise in level of water)
= 3.14 x (18/2)^2 x 6
= 1526.04 cubic inch

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