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 \(2.1 \ cm\). The height of the entire shuttle cork is \(7.3 \ cm\). Find its external surface area.
 
Answer:
 
Slant height of the frustum, \(l\) \(=\) \(cm\)
[Note: Round off your answer up to one decimal place.]
 
External surface area of the shuttle cork \(=\) \(+\)
 
The external surface area of the shuttle cork \(=\)  \(cm^2\)
 
[Note: Round off your answer up to two decimal places.]