On the day of her examination, Nivi sharpened her pencil from both ends as shown below:
The diameter of the cylindrical and conical part of the pencil is \(4.2 \ mm\). If the height of each conical part is \(2.8 \ mm\) and length of entire pencil is \(105.6 \ mm\), find the total surface area of the pencil. [Use \(\pi = \frac{22}{7}\)]