document.write( "Question 802271: A pipe of thickness 1/2cm has an external diameter of 12 cm. Find the volume of 2.4m of pipe. \n" ); document.write( "
Algebra.Com's Answer #483830 by DrBeeee(684)\"\" \"About 
You can put this solution on YOUR website!
Let r = inside radius of the pipe, cm
\n" ); document.write( "Let h = height (length) of the pipe, cm
\n" ); document.write( "Let B = inside area of the end of the pipe, cm^2
\n" ); document.write( "Let V = the volume of the pipe, cm^3
\n" ); document.write( "Use the formula
\n" ); document.write( "(1) V = B*h or
\n" ); document.write( "(2) \"V+=+%28pi%2Ar%5E2%29%2Ah\"
\n" ); document.write( "The inside diameter is the outside diameter of 12cm minus twice the thickness, 0.5cm, of the pipe. The inside radius is one half of the inside diameter or
\n" ); document.write( "(3) r = (12-2*0.5)/2 or
\n" ); document.write( "(4) r = (12-1)/2 or
\n" ); document.write( "(5) r = 11/2 or
\n" ); document.write( "(6) r = 5.5
\n" ); document.write( "The area of the pipe's cross-section is
\n" ); document.write( "(7) \"B+=+pi%2Ar%5E2\" or
\n" ); document.write( "(8) \"B+=+pi%2A5.5%5E2\" or
\n" ); document.write( "(9) \"B+=+pi%2A30.25\"
\n" ); document.write( "The height, h, of the pipe is the same as the length or 2.4m, which converts to 240cm (all length units must be the same). Substituting B and h into (1) yields
\n" ); document.write( "(10) \"V+=+pi%2A30.25%2A240\" or
\n" ); document.write( "(11) \"V+=+pi%2A7260+cm%5E3\" or
\n" ); document.write( "(12) \"V+=+22808cm%5E3\" or
\n" ); document.write( "(13) \"V+=+0.0228m%5E3\"
\n" ); document.write( "
\n" ); document.write( "
\n" );