设圆锥形容器的底面半径为
$2r,$高为$2h,$则中间的底面
半径为$r,$高为$h。$
$V_{原来油}=\frac {1}{3}\pi (2r)^2×2h=\frac {8}{3}\pi r^2h$
$V_{剩下油}=\frac {1}{3}\pi r^2h$
$ \frac {V_{剩下油}}{V_{原来油}}=\frac {\frac {1}{3}\pi r^2h}{\frac {8}{3}\pi r^2h}=\frac {1}{8}$
$2000×(1 - \frac {1}{8})=1750($克$)$
答:香油流失了$1750$克。