(Solved):   1. Use the spherical coordinates to find the area of the region bounded by \( 0 \leq \phi ...

 

1. Use the spherical coordinates to find the area of the region bounded by \( 0 \leq \phi \leq 2 \pi \) on the spherical shell of radius \( 2 \mathrm{~m} \). 2. Use the cylindrical coordinates to find the area of the curved surface of a right circular cylinder of radius \( A \) and height \( H \). 3. Use spherical coordinates to write the differential surface areas \( d S_{1} \) and \( d S_{2} \) marked in the figure below.