document.write( "Question 853337: The content of a sphere with a volume of 324 cm^3 is poured into a cylindrical vessel of the same radius as that of the sphere. If the cylindrical vessel is only 3/4 filled, find the height of the cylindrical vessel. Use pi = 3.14
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Algebra.Com's Answer #514038 by mananth(16946)\"\" \"About 
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The content of a sphere with a volume of 324 cm^3 is poured into a cylindrical vessel of the same radius as that of the sphere. If the cylindrical vessel is only 3/4 filled, find the height of the cylindrical vessel. Use pi = 3.14\r
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\n" ); document.write( "\n" ); document.write( "Volume of sphere = 4/3 pi r^3= 324\r
\n" ); document.write( "\n" ); document.write( "r^3= 3*324/(4 pi)\r
\n" ); document.write( "\n" ); document.write( "r^3 = 243/pi\r
\n" ); document.write( "\n" ); document.write( "r^3=77.39
\n" ); document.write( "r=4.26\r
\n" ); document.write( "\n" ); document.write( "Volume of fill = pi r^2 h\r
\n" ); document.write( "\n" ); document.write( "324 = pi *r^2 *h\r
\n" ); document.write( "\n" ); document.write( "324/(pi* r^2) =h\r
\n" ); document.write( "\n" ); document.write( "324/(3.14*(4.26)^2)=h\r
\n" ); document.write( "\n" ); document.write( "h=5.68 cm\r
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