# Exercici 9.8

kill(all)$

y=y:+sqrt(R^2-x^2);

Ay=Ay:(2*y)^2 + (%pi/8)*(2*y)^2 ;

factor(%);

A(x):=((%pi+8)*(R^2-x^2))/2 ;

I1=I1:integrate(A(x), x, 0, R);

Volum=2*I1;