I tried to convert to spherical coordinates, but I can't determine φ ( the angle on the Oxy plane)
M minh nguyen New member Joined May 21, 2021 Messages 5 May 21, 2021 #1 I tried to convert to spherical coordinates, but I can't determine φ ( the angle on the Oxy plane)
N nasi112 Full Member Joined Aug 23, 2020 Messages 616 May 21, 2021 #2 Change from Cartesian coordinate to Spherical and simplify. [MATH]2\int_{0}^{\frac{\pi}{2}}\int_{0}^{\frac{\pi}{2}}\int_{0}^{a\sin \phi \sqrt{\cos \theta \sin \theta}} r^3 \cos \theta \sin \theta \cos \phi \sin \phi \ dr \ d\phi \ d\theta[/MATH]
Change from Cartesian coordinate to Spherical and simplify. [MATH]2\int_{0}^{\frac{\pi}{2}}\int_{0}^{\frac{\pi}{2}}\int_{0}^{a\sin \phi \sqrt{\cos \theta \sin \theta}} r^3 \cos \theta \sin \theta \cos \phi \sin \phi \ dr \ d\phi \ d\theta[/MATH]
M minh nguyen New member Joined May 21, 2021 Messages 5 May 22, 2021 #3 how could you find the φ, I think it's not easy like that
M minh nguyen New member Joined May 21, 2021 Messages 5 May 22, 2021 #4 :O thank sir, I completely understand. Have a good day