如图所示,BC=2rAB=h,AC=2R所以h^2+4r^2=4R^2r^2=R^2-h^2/4V圆柱=πr^2*h=π(R^2-h^2/4)*h=-πh^3/4+πhR^2求导可知该函数在(0,(2√3/3)R] 递增在((2√3/3)R,正无穷）递减所以当h=2√3/3)R时,V取最大值此时V可得...