Q26 of 32 Page 13

A tent is cylindrical in shape with a conical top above it. The radius of the base of the tent is 7m. The height of the cylindrical part is 20 m and the height of the conical part is 4 m. Find the volume of air in the tent.

Volume of cylindrical part = π r2h
                                      = × 7 × 7 × 20 m3  
                                       = 3080 m3
Volume of conical part =π r2h
                               = x x 7 x 7 x 4m3
                                 = 205.3 m3
...Volume of air in tent = volume of cylindrical part + volume of conical part 
                                = (3080 + 205.3) m3  
                                = 3285.3 m3

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