What figure does this integral triple integral describes

Hello. I have been given the following integral to convert to spherical coordinates, and I would like to know what figure this represents and how to find the phi angle. I have found that 0<r<2, 0<𝜃<2𝜋, but I don't understand how to determine phi. Also, I think this region describes a cone with a sphere on top, but my teacher says it is a sphere. The spherical conversion is (see the blue integrals below).

Could you help me better understand this?

https://preview.redd.it/aedjluilsd4d1.png?width=571&format=png&auto=webp&s=fe0fd9daf49e203a606f04bbbd53a00037f0664a

https://preview.redd.it/7131uqgutd4d1.png?width=862&format=png&auto=webp&s=06af3e6a09bd6bb905eacaac96c856834f073e02