A funnel consists of a frustum of a cone attached to a cylindrical portion \(12 \ cm\) long attached at the bottom. If the total height be \(27 \ cm\), diameter of the cylindrical portion be \(16 \ cm\) and the diameter of the top of the funnel be \(32 \ cm\). Find the outer surface area of the funnel.
Answer:
Outer surface area \(=\) \(+\)
The outer surface area of the funnel \(=\) \(cm^2\)
[Note: Enter the answer upto two decimal places.]