document.write( "Question 200090: If the height of a right circular cylinder is quadrupled and the radius is divided by three, how is the volume changed? \n" ); document.write( "
Algebra.Com's Answer #150422 by orca(409)\"\" \"About 
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Suppose the height and the radius of the original cylinder are h and r respectively. Then the volume of the original cylinder is
\n" ); document.write( "\"v+=+pi%2Ar%5E2%2Ah\"\r
\n" ); document.write( "\n" ); document.write( "The height and the radius of the newly formed cylinder are 3h and r/3 respectively. Then the volume of the newly formed cylinder is
\n" ); document.write( "\"V+=+pi%2A%28r%2F3%29%5E2%2A3h\"
\n" ); document.write( "=\"pi%2A%28r%5E2%2F9%29%2A3h\"
\n" ); document.write( "=\"%281%2F3%29%2Api%2Ar%5E2%2Ah\"
\n" ); document.write( "=\"%281%2F3%29%2Av\"
\n" ); document.write( "So the volume of the newly formed cylinder is only one third of the volume of the original cylinder.
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