A conical tent is 10 m high and the radius of its base is 24 m. Find slant height of the tent and cost of the canvas required to make the tent, if the cost of 1 square meter canvas is Rs. 70. The slant height of the tent = ____ and the cost of the canvas required to make the tent is [[2]].

Chapter/Topic: Surface Areas And Volumes

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Detailed Solution

slant height of the tent.

h^{2} + r^{2} = l^{2}

[On applying Pythagoras theorem]

10^{2} + 24^{2} = l^{2}

= 676
l= 26
Therefore, the slant height of the tent = 26 m.
cost of the canvas required to make the tent, if the cost of 1 m2 canvas is Rs. 70.
Curved surface area of tent = πrl
= (22/7) × 24 × 26 m2
As cost of 1 m2 canvas = Rs 70
Cost of (13728/7)m2 canvas = (13728/7)×70 = Rs 137280
Therefore, the cost of the canvas required to make the tent is Rs 137280.
The slant height of the tent = 26 m and the cost of the canvas required to make the tent is Rs 137280.

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