M.L Aggarwal book Important Question of class 10 chapter Based on Mensuration for ICSE BOARD.

Here the height and the radius of the base of a conical tent is given.

Find slant height of the tent and cost of the canvas required to make the tent, if the cost of 1 msq canvas is Rs 70.

This is the Question Number 11, Exercise 17.2 of M.L Aggarwal.

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

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(i)Given height of the tent, hÂ=Â10 mRadius, r = 24 mWe know thatÂl^{2}Â = h^{2}+r^{2}l^{2}Â = 10^{2}+24^{2}l^{2}Â = 100+576l^{2}Â = 676l^{Â }= âˆš676l^{Â }= 26(ii) Curved surface area = rl= (22/7)Ã—24Ã—26 = 13728/7 m^{2}Cost of 1 m^{2}Â canvas = Rs. 70Total cost = (13728/7)Ã—70= Rs. 137280Hence the cost of the canvas required to make the tent is Rs. 137280.