set terminal aifm
set output "fig84.ai"
h=1.0
a=1.1*pi/6
r1=h*sin(a)/(1+sin(a))
r2=h*sin(a)/(cos(a)*cos(a))
V1(x)=4.0*pi*x*x*x/3.0
V2(x)=pi*(h-x*(1.0-sin(a))/sin(a))*(h-x*(1.0-sin(a))/sin(a))*((x*(1.0+2.0*sin(a))/sin(a))-h)/3.0
V3(x)=pi*(x-sqrt(x*x-h*h*tan(a)*tan(a)))*(x-sqrt(x*x-h*h*tan(a)*tan(a)))*(2*x+sqrt(x*x-h*h*tan(a)*tan(a)))/3.0
set xrange [-0.375:1.5]
set yrange [-0.4:0.8]
plot 0,V1(x),V2(x),V3(x),10.0*(x-r1)*(x-r2)
set output "res"