SOLUTION: A cylinder of radius of 10cm. It already contains water to depth of 15cm. A metal sphere with volume 900cm^3 is placed in the water. Calculate The height In cm that the water level

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Question 730286: A cylinder of radius of 10cm. It already contains water to depth of 15cm. A metal sphere with volume 900cm^3 is placed in the water. Calculate The height In cm that the water level rises
Found 2 solutions by lynnlo, ikleyn:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by ikleyn(53431) About Me  (Show Source):
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A cylinder of radius of 10cm. It already contains water to depth of 15cm.
A metal sphere with volume 900cm^3 is placed in the water.
Calculate The height In cm that the water level rises.
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Due to the volume conservation principle, 
the water level will raise by the value h such that the volume of a cylinder
with the radius of 10 cm and the height of h cm will be 900 cm^3


    pi%2A10%5E2%2Ah = 900.


It gives

    h = 900%2F%28pi%2A10%5E2%29 = 9%2Fpi = 9%2F3.14159265 = 2.864788979 cm.


ANSWER.  The water level will raise approximately 2.865 cm.

Solved.