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Deepak Bora
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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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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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1 Answer

  1. (i)Given height of the tent, h 10 m

    Radius, r = 24 m

    We know that l2 = h2+r2

    l2 = 102+242

    l2 = 100+576

    l2 = 676

    l = √676

    l = 26

    (ii) Curved surface area = rl

    = (22/7)×24×26 = 13728/7 m2

    Cost of 1 m2 canvas = Rs. 70

    Total cost = (13728/7)×70

    = Rs. 137280

    Hence the cost of the canvas required to make the tent is Rs. 137280.

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