document.write( "Question 972011: a soup company multiplies the dimensions of its cylindrical soup can by a scale factor increasing the volume of a can from 400 cubic centimeters to 1,350 cubic centimeters. if the height of the original can was 5 centimeters, which is the closest to the height of the new can? \n" ); document.write( "
Algebra.Com's Answer #594420 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Original volume
\n" ); document.write( "\"h%2Api%2Ar%5E2=400\"
\n" ); document.write( "\"5%2Api%2Ar%5E2=400\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "New volume
\n" ); document.write( "\"%285%2Ak%29pi%28r%2A5%29%5E2=1350\"
\n" ); document.write( "\"k%2A5pi%28r%5E2%29%2A25=1350\"
\n" ); document.write( "\"25%2A5kpi%2Ar%5E2=1350\"
\n" ); document.write( "\"125k%2Api%2Ar%5E2=1350\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "New height is \"125k\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "note that \"pi%2Ar%5E2=400%2F5\" from the original can.
\n" ); document.write( "\"pi%2Ar%5E2=80\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"125k=1350%2F%28pi%2Ar%5E2%29\"
\n" ); document.write( "\"125k=1350%2F80\"
\n" ); document.write( "\"highlight%28125=16.875%29\", height of the new can.
\n" ); document.write( "
\n" );