document.write( "Question 83293: The cost of stainless steel tubing varies jointly as the length and the diameter of the tubing. If a 5 foot length with diameter 2 inches costs $48.00, how much will a 8 foot length with diameter 4 inches cost? \n" ); document.write( "

Algebra.Com's Answer #59845 by vertciel(183) $\"\"$ $\"About$

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This is a proportion problem. We cannot compare the ratios until all the units are equal. Hence, we need to find the volume in terms of feet or inches and then set up a ratio.\r
\n" ); document.write( "\n" ); document.write( "Find the volume of each tube first.\r
\n" ); document.write( "\n" ); document.write( "Afterwards, set up a ratio in terms of:\r
\n" ); document.write( "\n" ); document.write( "Volume/Price of Smaller Tube = Volume/Price of Larger Tube\r
\n" ); document.write( "\n" ); document.write( "Please write back if further help is needed.\r
\n" ); document.write( "\n" ); document.write( "---\r
\n" ); document.write( "\n" ); document.write( "Volume = Pi(radius^2) x height\r
\n" ); document.write( "\n" ); document.write( "For example, in the first cylinder, the radius is 1 inch and the height would be 5 feet. In order to find the volume, you would need to convert all measurements to inches or feet. Plug the values into the formula and you have the volume.\r
\n" ); document.write( "\n" ); document.write( "Do the same for the other cylinder. Again, convert the values to either inches or feet.\r
\n" ); document.write( "\n" ); document.write( "Then, fill in the ratio. The only thing blank would be the \"price of larger tube\", because that is what you want to find out.\r
\n" ); document.write( "\n" ); document.write( "I won't calculate this for you because I want you to try to solve this problem. It's more exciting for you. \n" ); document.write( "

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