2. Five marks example problems I

1. A toy is in the shape of a cylinder surmounted by a hemisphere. The height of the toy is \(25 \ cm\). Find the total surface area of the toy if its common diameter is \(12 \ cm\).

 

Answer:

 

The total surface area of the toy \(=\)  \(cm^2\)

 

 

2. A jewel box is in the shape of a cuboid of dimensions \(30 \ cm\)\(\times\)\(15 \ cm\)\(\times\)\(10 \ cm\) surmounted by a half part of a cylinder as shown in the figure. Find the volume and T.S.A. of the box.

 

 

Answer:

 

Volume of the jewel box \(=\)  \(cm^3\)

 

Total surface area of the jewel box \(=\)  \(cm^2\)

 

 

3. Arul has to make arrangements for the accommodation of \(150\) persons for his family function. For this purpose, he plans to build a tent which is in the shape of cylinder surmounted by a cone. Each person occupies \(4\) sq. m of the space on ground and \(40\) cu. meter of air to breathe. What should be the height of the conical part of the tent if the height of cylindrical part is \(8\) \(m\)?

 

Answer:

 

The height of the conical part of the tent \(=\)  \(m\)