
I.11.20 Triple integrals
Condition: Write the integral \( \iiiint_{V} f(x, y, z) d x d y d z \) in the form of one of the repeated ones in the spherical coordinate system, if \[ V=\left\{(x, y, z): x^{2}+y^{2}+z^{2} \leq R^{2}, x^{2}+y^{2}+z^{2} \leq 2 z R\right\} \]