document.write( "Question 171139: I am totally clueless! please help me figure out this word problem. 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 #126331 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Volume of a right circular cylinder is given by the formula:\r
\n" ); document.write( "\n" ); document.write( "V=pi*r^2*h where r is radius and h is height\r
\n" ); document.write( "\n" ); document.write( "Volume of original cylinger is: V1=pi*r^2*h
\n" ); document.write( "Volume of new cylinder is: V2=pi*(r/3)^2*(4h); simplifying, we get:
\n" ); document.write( "V2=pi*((r^2)/9)*4h=
\n" ); document.write( "V2=(pi*r^2*h)*(4/9) but (pi*r^2*h)=V1, so we have:
\n" ); document.write( "V2=(4/9)*V1\r
\n" ); document.write( "\n" ); document.write( "So the Volume gets quite a bit smaller---4/9 of the original volume\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \r
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