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+import graph3;
+import solids;
+size(300);
+currentprojection=perspective(0,2,10,up=Y);
+currentlight=Viewport;
+
+pen color=green;
+
+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(-X,p3,Y,0,180);
+render render=render(merge=true);
+draw(surface(a),color);
+surface s=surface(p);
+draw(s,color);
+transform3 t=shift(-2X)*rotate(180,Y);
+draw(t*s,color);
+draw(p3);
+draw(t*p3);
+
+draw((-1,0,0)--(-1,1,0),dashed);
+xaxis3(Label("$x$",1),Arrow3);
+yaxis3(Label("$y$",1),Arrow3);
+dot(Label("$(1,1)$"),(1,1,0));
+dot(Label("$(-1,1)$"),(-1,1,0),W);
+arrow("$y=x^{2}$",F3(0.7),X,1cm,red);
+arrow("$y=x$",(0.3,0.3,0),X,1.5cm,red);
+draw(circle((-1,1,0),2,Y),dashed);
+draw((-1,1,0)--(1,1,0),dashed);
+draw(shift(-X)*arc(0.02Y,0.3,90,0,0,0,CW),Arrow3);