document.write( "Question 1039516: The volume of a cylinder is jointly proportional to the square of its radius and to its height. It's volume is 942cm^2 when its height is 3cm and its radius is 10 cm. The proportionality constant constant is k=3.14\r
\n" ); document.write( "\n" ); document.write( "a. what will be the radius if the volume is doubled?\r
\n" ); document.write( "\n" ); document.write( "b.What will happen to the volume if the radius is halved and while the height is quadrupled?
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Algebra.Com's Answer #654275 by chen.aavaz(62)\"\" \"About 
You can put this solution on YOUR website!
a.
\n" ); document.write( "volume: V
\n" ); document.write( "radius: R
\n" ); document.write( "height: H\r
\n" ); document.write( "\n" ); document.write( "then
\n" ); document.write( "\"V=k%2AR%5E2%2AH\"
\n" ); document.write( "if
\n" ); document.write( "\"Vnew=2%2AV\"
\n" ); document.write( "and
\n" ); document.write( "\"Hnew=H\" (remains the same), then
\n" ); document.write( "\"Rnew%5E2=2%2AR%5E2\"
\n" ); document.write( "so
\n" ); document.write( "\"Rnew=R%2Asqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "b.
\n" ); document.write( "\"Rnew=R%2F2\"
\n" ); document.write( "and
\n" ); document.write( "\"Hnew=H%2A4\"
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "\"Vnew=k%2A%28R%2F2%29%5E2%2AH%2A4=V\"
\n" ); document.write( "So it remains the same.
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