Abstract:

Considering the physical problem of pumping power，infinitesimal method and triple integral are used in this paper，combined scenes of real life and engineering background. Considering the container placed vertically and tilted，the model of vertical condition and the different positions of the straw，the model of tilted condition and liquid not flowing out，and the model of tilted condition and liquid flowing out of the container are established. Through numerical simulation，the strong practical application and the value of theoretical reference are pointed out.

Key words: infinitesimal method, triple integral, pumping work