document.write( "Question 196976This question is from textbook algebra and trigonometry
\n" ); document.write( ": The volume of a cone varies jointly as the height and the square of the radius of the base. A cone height 8 cm and a base of diameter 9 cm has volume 54π. Find the constant of variation and use it to develop the general formula for the volume of a cone. \n" ); document.write( "
Algebra.Com's Answer #147669 by stanbon(75887)\"\" \"About 
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The volume of a cone varies jointly as the height and the square of the radius of the base.
\n" ); document.write( "V = k[h*r^2]
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\n" ); document.write( "\n" ); document.write( "A cone height 8 cm and a base of diameter 9 cm has volume 54π. Find the constant of variation and use it to develop the general formula for the volume of a cone.\r
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\n" ); document.write( "\n" ); document.write( "54 = k[8*(9/2)^2]
\n" ); document.write( "54 = k[162]
\n" ); document.write( "k = 54/162
\n" ); document.write( "k = 1/3
\n" ); document.write( "---
\n" ); document.write( "Equation:
\n" ); document.write( "V = (1/3)h*r^2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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