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.
Deepak BoraNewbie
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, 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.