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+import graph3;
+import solids;
+size(0,150);
+currentprojection=perspective(0,0,10,up=Y);
+
+pen color=green;
+real alpha=250;
+
+real f(real x) {return x^2;}
+pair F(real x) {return (x,f(x));}
+triple F3(real x) {return (x,f(x),0);}
+
+path p=graph(F,0,1,n=10,operator ..)--cycle;
+path3 p3=path3(p);
+
+revolution a=revolution(p3,X,-alpha,0);
+render render=render(compression=0,merge=true);
+draw(surface(a),color,render);
+surface s=surface(p);
+draw(s,color,render);
+draw(rotate(-alpha,X)*s,color,render);
+
+draw(p3,blue);
+
+xaxis3(Label("$x$",1),xmax=1.25,dashed,Arrow3);
+yaxis3(Label("$y$",1),Arrow3);
+dot(Label("$(1,1)$"),(1,1,0),X+Y);
+arrow("$y=x$",(0.7,0.7,0),Y,0.75cm,red);
+arrow("$y=x^2$",F3(0.7),X,0.75cm,red);
+draw(arc(1.1X,0.3,90,90,3,-90),Arrow3);