14. Five marks exercise problem VIII

A shuttle cork used for playing badminton has the shape of a frustum of a cone is mounted on a hemisphere. The diameters of the frustum are $5 \ cm$ and $2 \ cm$. The height of the entire shuttle cork is $7 \ cm$. Find its external surface area.

 

Answer:

 

The external surface area of the shuttle cork $=$  $cm^2$

 

[Note: Round off your answer up to two decimal places.]