  We investigate some exact static cylindrically symmetric solutions for a
perfect fluid in the metric $f(R)$ theory of gravity. For this purpose, three
different families of solutions are explored. We evaluate energy density,
pressure, Ricci scalar and functional form of $f(R)$. It is interesting to
mention here that two new exact solutions are found from the last approach, one
is in particular form and the other is in the general form. The general form
gives a complete description of a cylindrical star in $f(R)$ gravity.
