A patch test is done by applying a small amount of the chemical product to a patch of skin to check for allergies or adverse reactions before proceeding with the treatment.
On the day of her examination, Riya 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 the length of the entire pencil is 105.6 mm, find the total surface area of the pencil.