document.write( "Question 730292: 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 that the water level rises \n" ); document.write( "
Algebra.Com's Answer #446635 by ankor@dixie-net.com(22740)\"\" \"About 
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A cylinder of radius of 10cm.
\n" ); document.write( " It already contains water to depth of 15cm.
\n" ); document.write( " A metal sphere with volume 900cm^3 is placed in the water.
\n" ); document.write( " Calculate the height that the water level rises
\n" ); document.write( ":
\n" ); document.write( "Find the vol of water in the cylinder
\n" ); document.write( "V = \"pi%2Ar%5E2%2Ah\"
\n" ); document.write( "V = \"pi%2A10%5E2%2A15\"
\n" ); document.write( "V = 4712.4 cu/cm of water
\n" ); document.write( ":
\n" ); document.write( "Find the total volume of the water and the sphere
\n" ); document.write( "4712.4 + 900 = 5612.4 cu/cm
\n" ); document.write( ":
\n" ); document.write( "Find the height (h) of the water when displaced by the sphere
\n" ); document.write( "\"pi%2A10%5E2%2Ah\" = 5612.4
\n" ); document.write( "h = \"5612.4%2F%28%28100pi%29%29\"
\n" ); document.write( "h = 17.8647 cm is the height
\n" ); document.write( ":
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\n" ); document.write( "Check this by finding the vol of the water between 17.8647 - 15 = 2.8647cm
\n" ); document.write( "V = \"pi%2A10%5E2%2A2.8647\"
\n" ); document.write( "V = 899.97 ~ 900, the vol of the sphere
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