5. Five marks example problem IV

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 \(20 \ cm\), diameter of the cylindrical portion be \(12 \ cm\) and the diameter of the top of the funnel be \(24 \ cm\). Find the outer surface area of the funnel.

 

Answer:

 

The outer surface area of the funnel \(=\)  \(cm^2\)

 

[Note: Enter the answer upto two decimal places.]