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Question:

A conical tent is 10 m high and the radius of its base is 24 m. Find (i) slant height of the tent and (ii) cost of the canvas required to make the tent, if the cost of 1 m² canvas is Rs 70

Solution:

Given:h=10 mr=24 m(i)l2=h2+r2...[Pythagoras theorem]l2=(10)2+(24)2⇒100+576l=√676=26 m(ii) Curved surface area=πrl=227×24×26=137287m2Cost of1 m2canvas=Rs 70Cost of37287m2canvas=137287×70=Rs. 1,37,280