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在圆锥体积的计算推导过程中,我们发现了圆锥的体积是和它等底等高的圆柱体积的三分之一。由此我们还可以推算出:如果圆柱和圆锥的体积相等,底面积也相等,那么圆锥的高是圆柱的3倍,如果圆柱和圆锥的体积相等,高也相等,那么圆锥的底面积是圆柱的3倍。例 1一个圆柱形容器的容积是14.13升,把它盛满水后,再将水倒满一个与它等底等高的圆锥形容器。请问:圆柱形容器中还有多少升水?
In calculating the cone volume, we found that the volume of the cone is one-third the volume of the cylinder at the bottom of the cone. From this we can also deduce that if the volume of the cylinder and the cone are equal and the bottom areas are equal, the height of the cone is three times that of the cylinder. If the volume of the cylinder and the cone are equal and the height is the same, then the bottom area of the cone is cylindrical 3 times. Example 1 A cylindrical container, having a volume of 14.13 liters, was filled with water and then poured over a conical container of equal height. Excuse me: How much water is in the cylindrical container?