[Math] Draw 3d double integral in Maple

Question

I have a voluntary hand in I am working on, and in that rigard
I need to draw the following figure in Maple.

The area $ \displaystyle \iint_R \frac{x}{\sqrt{x^2+y^2}} \mathrm{d}A $
where $R$ is the area where $x>0$ below $3 + \sqrt{9-x^2}$ and above $y=x/3+2$

I have been able to draw the base of the figure in maple (image), but I am not able to draw it in 3d.

I have been able to transform the integral into polar coordinates, but is this easier to draw? Eg

$$\int_{\pi/4}^{\pi/2} \int_{r_2}^{r_1} \cos \theta \, r \, \mathrm{d}r\mathrm{d}\theta$$
Where $y=3+\sqrt{9-x^2} \ \Leftrightarrow \ r_1 = 6 \sin \theta \ $ and $ \ y = x/3 + 2 \ \Leftrightarrow \ r_2 = \cfrac{6}{3\sin\theta – \cos\theta}$

So yeah, any help in drawing this area in maple is greatly appreciated =)

Answer 1

plot3d(x/sqrt(x^2+y^2), x=0..3, y=x/3+2..3+sqrt(9-x^2),
   axes=box, orientation=[-120,30,0]);

plot3d(x/sqrt(x^2+y^2), x=0..3, y=x/3+2..3+sqrt(9-x^2),
   axes=box, orientation=[-120,30,0], filled=true);