document.write( "Question 617507: If the volume of a cone is 168pi inches^3 and its altitude is 14 inches, what is the radius of the cone? \n" ); document.write( "
Algebra.Com's Answer #388510 by ankor@dixie-net.com(22740)\"\" \"About 
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f the volume of a cone is 168pi inches^3 and its altitude is 14 inches, what is the radius of the cone?
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\n" ); document.write( "The volume of a cone formula: V = \"1%2F3\"*\"pi%2Ar%5E2%2Ah\"
\n" ); document.write( "Given: v = 168pi, h = 14, find r
\n" ); document.write( "\"1%2F3\"*\"pi%2Ar%5E2%2A14\" = \"168%2Api\"
\n" ); document.write( "divide both sides by pi
\n" ); document.write( "\"1%2F3\"*\"r%5E2%2A14\" = 168
\n" ); document.write( "Multiply both sides by 3
\n" ); document.write( "\"r%5E2%2A14\" = 504
\n" ); document.write( "divide both sides by 14
\n" ); document.write( "r^2 = \"504%2F%2814%29\"
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\n" ); document.write( "r^2 = 36
\n" ); document.write( "r = \"sqrt%2836%29\"
\n" ); document.write( "r = 6 inches is the radius
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\n" ); document.write( "Check this on your calc:
\n" ); document.write( "forget pi, it's on both sides of the equation.
\n" ); document.write( " enter \"1%2F3\"*\"6%5E2%2A14\" results: 168
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