Q51 of 56 Page 13

Due to heavy floods in a State, thousands were rendered homeless. 50 schools collectively offered to the State Government to provide place and the canvas for 1, 500 tents to be fixed by the Government and decided to share the whole expenditure equality. The lower part of each tent is cylindrical of base radius 2.8 m and height 3.5 m, with conical upper part of same base radius but of height 2.1 m. If the canvas used to make the tents costs Rs. 120 per sq. m, find the amount shared by each school to set up the tents.

What value is generated by the above problem? (Use π = 22/7)(CBSE 2016)

For cylindrical part


Radius, r = 2.8 m


Height, h = 3.5 m


For Conical part


Radius, r = 2.8 m


Height, H = 2.1 m


Slant height





Required canvas for one tent = CSA of conical part + CSA of cylindrical part


A = πrl + 2πrH

⇒ A = πr( l + 2H)


⇒ A = 22(0.4)(10.5)


⇒ A = 92.4 m2


Cost of 1 m2 canvas = 120 RS


⇒ Cost of 1 tent = 92.4(120) = 11088 RS


⇒ Cost of 1500 tents = 1500(11088) = 16632000 RS


⇒ Cost shared by each school = 16632000/50 = 332640 RS


Values shown : Helping someone in the difficult times

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