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.]