A tent of height 77 dm is in the form a right circular cylinder of diameter 36 m and height 44 dm surmounted by a right circular cone. Find the cost of the canvas at Rs. 3.50 per m2.

Height of tent =77dm


=7.7m


Radius of the cylinder =18 m


Height of cylinder =44dm =4.4m


Height of cone = (7.7-4.4) m


=3.3m


Curved Surface area of cylinder portion of the tent


= 2 × (22/7) × 18 × 4.4


= 497.83 m2


Curved surface area of conical tent =π r l


Slant height of cone


= 18.3m


Curved surface area of cone = (22/7) × 18 × 18.3


= 1035.26m2


Total surface area of the tent = 497.83m2 + 1035.26m2


= 1533.09m2


Total cost of canvas = 3.50 × 1533.09


= Rs 5365.82


31