[SOLVED] Example on spherical coord. and trip. integral 1. The problem statement, all variables and given/known data Here's the example in the book. They're proving the volume of a sphere using spherical coordinates. A solid ball T (the region) with constant density [tex]\delta[/tex] is bounded by the spherical surface with equation [tex]\rho = a[/tex]. Use spherical coordinates to compute its volume V. It says that the bounds are: [tex]0 \leq \rho \leq a, 0 \leq \phi \leq \pi, 0 \leq \theta \leq 2 \pi[/tex] The bounds for [tex]\phi[/tex] confuse me. Why does it go from 0 to pi? Wouldn't that only account for half of the sphere? Any help is appreciated.