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Question

How many meters of 5metre will be required to make a conical tent the radius of whose base is 7 metre and height 24 metre what is the cost required to make the tent of 1metre square cloth cost rupees 50.

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Solution

Given, r = 7 m

h = 24 m

∴ slant height l = √(r2+ h2) = √(49 + 576) = √625 = 25 m

CSA of the cone = πrll = 22/7 x 7 x 25 = 550 m2

Area of the cloth used = 550 m2

Given, width of the cloth = 5 m

Length of the cloth used = Area/Width = 550 / 5 = 110m. CSAis 550m2 1metre square cloth cost rupees 50 so total cost =50*550=27500 RUPEES


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