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[tex]2\int_{r=0}^{3}\int_{\phi=0}^{\frac{\pi}{3}}r\sin\theta dr d \phi +

2\int_{r=0}^{3}\int_{\theta=0}^{\frac{\pi}{2}}r dr d \theta +

\int_{\theta=0}^{\frac{\pi}{2}}\int_{\phi=0}^{\frac{\pi}{3}}r^2\sin{\theta} d \theta d \phi[/tex]

[tex]= 2 [\frac{1}{2}R^2]_0^3[sin \frac {\pi}{2}][\phi]_0^{\frac{\pi}{3}}+

2 [\frac{1}{2}R^2]_0^3[\theta]_0^{\frac{\pi}{2}} +

R^2 [-\cos{\theta}]_{0}^{\frac{\pi}{2}} [\phi]_{0}^{\frac{\pi}{3}}[/tex]

[tex]= (9)(1)(\frac{\pi}{3})+(9)(\frac{\pi}{2})+(9)(1)(\frac{\pi}{3})[/tex]

[tex]= 3\pi + 4.5\pi + 3\pi = 10.5\pi[/tex]