1. The problem statement, all variables and given/known data sketch the solid region contained within the sphere, x^2+y^2+z^2=16, and outside the cone, z=4-(x^2+y^2)^0.5. b) clearly identifying the limits of integration, (using spherical coordinates) set up the iterated triple integral which would give the volume bounded by the above. Do not evaluate the integral. c)using the theorem of pappus find the volume bounded by the above. 2. Relevant equations 3. The attempt at a solution i have drawn the sketch of a sphere and the cone inside. they both have a circular trace on the xy plane of both radius 4. im stuck on part b and c my triple integral in spherical coordinates is the following (im hopping to get some help here because i dont know if it is correct or not) ∫dtheta ∫ sin(phi) dphi ∫ (rho)^ drho my limits are the following theta from 0 to 2π phi from 0 to π/2 rho from 4 to 4/(cos(phi)+sin(phi)) please help me on the limits of integration and the volume using theorem of pappus.