4. Five marks example problem III

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 \(=\)  \(m\)