document.write( "Question 269018: A cone and a cylinder have the same volume and the same base radius. If you are given only the height of the cylinder, is it possible to figure out the height of the cone? If so, how would you figure it out \n" ); document.write( "
Algebra.Com's Answer #197153 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A cone and a cylinder have the same volume and the same base radius.
\n" ); document.write( " If you are given only the height of the cylinder, is it possible to figure out the height of the cone?
\n" ); document.write( " If so, how would you figure it
\n" ); document.write( ":
\n" ); document.write( "The height of the cone would have to 3 times the height of the cylinder
\n" ); document.write( ":
\n" ); document.write( "We can illustrate this
\n" ); document.write( "Let h = height of the cylinder
\n" ); document.write( "Let 3h = height of the cone
\n" ); document.write( "Cyl = \"pi%2Ar%5E2%2Ah\"
\n" ); document.write( "Cone = \"%281%2F3%29%2Api%2Ar%5E2%2A3h\"
\n" ); document.write( "If you cancel the denominator 3 into 3h you have the same formula
\n" ); document.write( "
\n" );