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Question
How many square metres of canvas is required for a conical tent whose height is 3.5 m and the radius of the base is 12 m?
Solution
Dimensions of conical tent are:
Height = 3.5 m
Radius = 12 m
Canvas required to make a conical tent will only cover its curved surface, not the base.
So, we need to find the curved surface area of the conical tent to find out the area of canvas required to make that tent.
Curved surface area of cone = `pirsqrt(r^2 + h^2)`
= `22/7 xx 12 sqrt(12^2 + 3.5^2)`
= `22/7 xx 12 xx sqrt(156.25)`
= `22/7 xx 12 xx 12.5`
= 471.43 m2
Since, area of canvas = Curved surface area of conical tent
Thus, area of canvas required is 471.43 m2.
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