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]