Let d be the solid in the first octant bounded by the cone z = √(3(x^2 + y^2)) and the cylinder x^2+y^2 = 1. (our volume lives inside the cylinder, and under the cone.)
For (a), (b), and (c), set up the integral ∭_D​ zdV in each of the following coordinate systems. As part of the problem, explain how you obtain your limits of integration for x,y,z,ϕ, and rho. (a) Cylindrical (b) Spherical (c) Rectangular (d) Find the volume of D