document.write( "Question 1074453: Water is flowing into a conical reservoir 25.0 m deep and 10.0 m across the top, at a rate of 16.0 m3/min. How fast is the surface rising when the water is 10.0 m deep? \n" ); document.write( "
Algebra.Com's Answer #689123 by Alan3354(69443) You can put this solution on YOUR website! Water is flowing into a conical reservoir 25.0 m deep and 10.0 m across the top, at a rate of 16.0 m3/min. How fast is the surface rising when the water is 10.0 m deep? \n" ); document.write( "----------- \n" ); document.write( "Assuming 10 m is the diameter, r = 5 \n" ); document.write( "--- \n" ); document.write( "Vol = pi*r^2*h/3 \n" ); document.write( "Find r in terms of h: \n" ); document.write( "For 0 <= h <= 25, \n" ); document.write( "r/h = 5/25 \n" ); document.write( "r = h/5 \n" ); document.write( "--- \n" ); document.write( " \n" ); document.write( "--- \n" ); document.write( "dVol/dt = pi*h^2/25*dh/dt = 16 \n" ); document.write( "dh/dt = 400/(pi*h^2) \n" ); document.write( "At h = 10, \n" ); document.write( "dh/dt = 4/pi meters/minute\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |