Which of the following options gives the correct correlation between the variables of rectangular and cylindrical coordinate systems, if x, y, z are variables in a rectangular coordinate system and p, ϕ, z are the variables in a cylindrical system?
1
x = p cos ϕ, y = p sin ϕ and z = z
2
x = p, y = p cos ϕ and z = p sin ϕ
3
x = p sin ϕ, y = p cos ϕ and z = z
4
x = p cos ϕ, y = p sin ϕ and z = z tan ϕ