1. The problem statement, all variables and given/known data Find the volume enclosed by the spherical coordinate surface ρ = 2sin∅ 2. Relevant equations dV = ∫∫∫(ρ^2)sin∅dρd∅dθ 3. The attempt at a solution (Sorry about my notation!) Alright, here's what I've done so far... Since the region is a torus, centered around the z-axis, I began by finding my limits of integration for ρ, which I think would simply be from 0 to 2sin∅. For my limits for ∅, I started at the utmost point on the positive z-axis, which I believe is 0 in regards to ∅, and it covers the entire ∅ "region" down to the negative z axis, so the limits are 0 to pi. And for θ, I got simply 0 to 2pi. Given those limits, integrating ((ρ^2)sin∅)dρd∅dθ, I wind up with 0, which on the one hand, I've convinced myself makes sense, since it is a torus, and it is symmetrical about the axes (like saying the area under the cosine from 0 to 2pi is 0). On the other hand, a volume of 0 for a physical object simply doesn't make sense. I have a feeling I'm simply going about the limits wrong. If I've got those right, I'll post my integration work in case someone can spot the problem. Thanks guys!