45. Exemplar Exercise Problems XXX

A rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of the cylinder. The diameter and height of the cylinder are \(6\) \(cm\) and \(12\) \(cm\), respectively. If the the slant height of the conical portion is \(5\) \(cm\), find the total surface area and volume of the rocket [Use

\(π = 3.14\)].

 

Total surface area of rocket \(=\) \(cm^2\)

 

Volume of rocket \(=\) \(cm^3\)

 

[Note: Enter the answer upto two decimal places]