\
Step 1 :
\(a)
\\
Conversion from rectangular coordinates to spherical coordinates :
\The function is .
Substitute and
in above equation.
The equation in cylindrical coordinates is .
Step 2 :
\(b)
\\
Conversion from rectangular coordinates to spherical coordinates :
\The function is .
Substitute and
in above equation.
The equation in cylindrical coordinates is .
\
Solution :
\(a) The equation in spherical coordinates is .
(b) The equation in spherical coordinates is .