问题标题：
一道英文数学题!微积分的!atroughis6mlonganditsendshaveshapepfisoscelestrianglesthatare1maccrossatthetopandhaveaheightof50cm.ifthetroughisbeingfilledwithwateratarateof1.2m^3/min,howfastisthewaterleve
问题描述：
一道英文数学题!微积分的!
atroughis6mlonganditsendshaveshapepfisoscelestrianglesthatare1maccrossatthetopandhaveaheightof50cm.ifthetroughisbeingfilledwithwateratarateof1.2m^3/min,howfastisthewaterlevelrisingwhenwateris20cmdeep?
孔婷回答：
Solution:
Letxbetheheightofwaterlevel,Lbethewidthofwaterlevel
So,V=(1/2)LX*6=3LX
Bythesimilarity:L/x=100/50=2,L=2x
So,V=6x^2,dV/dt=12xdx/dt
Whenx=0.2cm
dV/dt=2.4dx/dt
dx/dt=(dV/dt)/2.4=1.2/2.4=0.5m^3/min
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