3. Example Problem III

A wooden toy rocket is in the shape of a cone mounted on a cylinder, as shown in Fig.. The height of the entire rocket is \(26 cm\), while the height of the conical part is \(6 cm\). The base of the conical portion has a diameter of \(5 cm\), while the base diameter of the cylindrical portion is \(3 cm\). If the conical portion is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with each of these colours. (Take \(\pi= 3.14\))

 

 

 

The area of painted orange \(=\)

 

The area of painted yellow \(=\)