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.]