document.write( "Question 243259: Water flows through a circular pipe of internal diameter 3cm at a speed of 10cm/sec. If the pipe is full, how much water flows from the pipe in one minute? (answer in litres) \n" ); document.write( "

Algebra.Com's Answer #178220 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!
Water flows through a circular pipe of internal diameter 3cm at a speed of 10cm/sec. If the pipe is full, how much water flows from the pipe in one minute? (answer in litres)
\n" ); document.write( "

\r\n" );
document.write( "If the pipe is long enough, then in 1 minute a given drop of water\r\n" );
document.write( "water will move  through the pipe.\r\n" );
document.write( "Let's pretend that instead of the water flowing out of the pipe, onto\r\n" );
document.write( "the ground or into a vat, that instead we attach another circular \r\n" );
document.write( "pipe onto the end of the the given pipe.  Pretend this attached pipe \r\n" );
document.write( "is exactly 600cm long and has the same 3 cm internal diameter as the given pipe. \r\n" );
document.write( "\r\n" );
document.write( "Instead of the water flowing out of the given pipe onto the ground or \r\n" );
document.write( "into a vat, we think of the water just exactly filling this new pipe we \r\n" );
document.write( "imagine to have been placed at the end. It would then fill this new \r\n" );
document.write( "attached pipe in exactly one minute.  And the amount of water in this \r\n" );
document.write( "imagined attached pipe after one minuter would be the same as the amount \r\n" );
document.write( "of water that would flow out of the pipe onto the ground or into a vat \r\n" );
document.write( "in one minute.\r\n" );
document.write( "\r\n" );
document.write( "So we need to find the volume of this imagined 600cm long pipe with\r\n" );
document.write( " 3 cm diameter.  We use the formula for a cylinder:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since the diameter is 3 cm, the radius R is 1.5 cm.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since a cubic centimeter and a milliliter are the same quantity, the\r\n" );
document.write( "\r\n" );
document.write( "volume is .  We convert milliliters to liters\r\n" );
document.write( "by moving the decimal 3 places left.  So the final answer is\r\n" );
document.write( "\r\n" );
document.write( "liters, or about liters.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );