(Solved): 1. (a) [5 points] Represent the cone \( z=\sqrt{x^{2}+y^{2}} \) in spherical coordinates. (b) [10 ...

1. (a) [5 points] Represent the cone \( z=\sqrt{x^{2}+y^{2}} \) in spherical coordinates. (b) [10 points \( ] \) Fill in the blanks for the region above the cone \( z=\sqrt{x^{2}+y^{2}} \) and inside the sphere \( \rho=2 a \cos \phi \). Set up an iterated triple integral and find the volume of the region using order \( d \rho d \phi d \theta \).