document.write( "Question 820339: The maximum load a cylindrical column of a circle cross section can support varies directly as fourth power of the diameter (exponent is 4) and inversely as the square of the height. If a column 2 feet in diameter an 10 feet high supports up to 6 tons. How many tons can column 3 feet in diameter and 18 feet high support? assume both columns are made from same material. \n" ); document.write( "
Algebra.Com's Answer #493494 by josgarithmetic(39623)\"\" \"About 
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Assign some variables.
\n" ); document.write( "L = load
\n" ); document.write( "d = diameter
\n" ); document.write( "h = height\r
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\n" ); document.write( "\n" ); document.write( "The description would give \"L=kd%5E4%2Fh%5E2\" where k is a proportionality constant.\r
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\n" ); document.write( "\n" ); document.write( "Next you are given some values and need to find the value for k.
\n" ); document.write( "\"L%2Ah%5E2%2Fd%5E4=k\",
\n" ); document.write( "Substitute the values for finding k,
\n" ); document.write( "\"k=6%2A10%5E2%2F2%5E4\"
\n" ); document.write( "and use this value for k in the question about L for the 3 foot diameter, 18 foot high column.
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