Question

I understand the relationship between the formulas of converting rectangular coordinates to spherical coordinates, but i dont understand the math behind it. I find that the cylindrical part makes sense but i dont understand how to find the limits of integration and when or why there are two triple integrands for them as well. im asking for numbers 13 and 15 as they are the only checkable ones on calc chat

12. 25. Find the v Jo Jo 2 26. Find the 27, Find the erting Coordinates In Exercises 13-16, convert the from rectangular coordinates to both cylindrical and Conv integral any point spherical coordinates, and evaluate the simplest iterated integral. the triple x dz dy dx 13. 28. Find the point is Use a c 29. Assunm mome 14. Jo Jo x dz dy dx 15. 30. Assu and f Momen coordina 16. Jo Jo 0 17-22, use cylindrical coordinates to e In Exercises inertia o

Answer 1

11.

2 /2 64 3213 27T-0 64./3π