document.write( "Question 1011498: A solid cylinder dear 8 cm long and of 3.5 cm radius is melted to form a hollow cylinder is melted to form a hollow cylinder of external radius 4 cm and 1 cm thi knees . What is length of hollow cylinder \n" ); document.write( "
Algebra.Com's Answer #627153 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
volume of a cylinder = pi*r^2*h\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the solid cylinder volume = pi*3.5^2*8 = pi*98\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the hollow cylinder has an external radius of 4 cm and an internal radius of 3 cm.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if you subtract the volume of the cylinder with 3 cm radius from the volume of the cylinder with 4 cm radius, you are left with a cylinder that has a wall of 1 cm width.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the material from the solid cylinder is then poured into this wall to make it solid. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the height is calculated from the following measurements.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the material that will be poured into the wall to make it solid has a volume of 98*pi.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the volume of the cylinder with the radius of 4 cm = pi*4^2*h = 16*pi*h.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the volume of the cylinder with the radius of 3 cm = pi*3^3*h = 9*pi*h.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "subtract 9*pi*h from 16*pi*h and you have a wall wall that is 1 cm thick and has a volume of 7*pi*h.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "you determine the height of this wall by solving the following equation.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "7*pi*h = 98*pi\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 7*pi to get h = 98*pi / (7*pi).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solve for h to get h = 14 cm.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "here's a picture of what i mean.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "not the best, but hopefully good enough.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"$$$\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );