A fluid management tool comprising: (a) an elongate main body having an upper end, a lower end, and a main body bore extending between said upper and lower ends, said main body bore including: an upper interval; a middle interval defining a middle main bore surface having a cross-sectional area A 1; and a lower interval defining a lower main bore surface having a cross-sectional area A 2; (b) an end cap mounted to the lower end of the main body, said end cap having an upper end defining an end cap seal surface, and an end cap discharge bore in fluid communication with the main body bore; (c) a spool having an upper end, a lower end, and a spool bore extending between the spool's upper and lower ends, said spool comprising: c.1 an upper spool section having a peripheral surface; c.2 a middle spool section having a peripheral surface; c.3 a spool cage having at least one slot; and c.4 a nose cone at the lower end of the spool, said nose cone defining a nose cone seal surface; said spool being disposed and axially movable within the main body bore, with the upper spool section disposed within the middle interval of the main body bore, and with the middle spool section and the spool cage disposed within the lower interval of the main body bore; (d) upper seal means, for sealing between the peripheral surface of the upper spool section and the middle main bore surface; (e) lower seal means, for sealing between the peripheral surface of the middle spool section and the lower main bore surface; and (f) spool biasing means biasing the spool toward a closed position in which the nose cone seal surface is in sealing engagement with the end cap seal surface over a contact seal region enclosing an area A 3; wherein area A 3 is less than area A 2, and A 1 is less than the difference between area A 2 and area A 3. (a) an elongate main body having an upper end, a lower end, and a main body bore extending between said upper and lower ends, said main body bore including: an upper interval; a middle interval defining a middle main bore surface having a cross-sectional area A 1; and a lower interval defining a lower main bore surface having a cross-sectional area A 2; (b) an end cap mounted to the lower end of the main body, said end cap having an upper end defining an end cap seal surface, and an end cap discharge bore in fluid communication with the main body bore; (c) a spool having an upper end, a lower end, and a spool bore extending between the spool's upper and lower ends, said spool comprising: c.1 an upper spool section having a peripheral surface; c.2 a middle spool section having a peripheral surface; c.3 a spool cage having at least one slot; and c.4 a nose cone at the lower end of the spool, said nose cone defining a nose cone seal surface; said spool being disposed and axially movable within the main body bore, with the upper spool section disposed within the middle interval of the main body bore, and with the middle spool section and the spool cage disposed within the lower interval of the main body bore; c.1 an upper spool section having a peripheral surface; c.2 a middle spool section having a peripheral surface; c.3 a spool cage having at least one slot; and c.4 a nose cone at the lower end of the spool, said nose cone defining a nose cone seal surface; (d) upper seal means, for sealing between the peripheral surface of the upper spool section and the middle main bore surface; (e) lower seal means, for sealing between the peripheral surface of the middle spool section and the lower main bore surface; and (f) spool biasing means biasing the spool toward a closed position in which the nose cone seal surface is in sealing engagement with the end cap seal surface over a contact seal region enclosing an area A 3;