A tent is in the shape of a cylinder surmounted by a conical top.If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m.find the area of the canvas of the tent at the rate of Rs.500 per square m.
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From the question, we know that
The diameter = D = 4 m
l = 2.8 m (slant height)
The radius of the cylinder is equal to the radius of the cylinder
So, r = 4/2 = 2 m
Also, we know the height of the cylinder (h) is 2.1 m
So, the required surface area of the given tent = surface area of the cone (the top) + surface area of the cylinder(the base)
= πrl + 2πrh
= πr (l+2h)
Now, substituting the values and solving it we get the value as 44 m^2
∴ The cost of the canvas at the rate of Rs. 500 per m^2 for the tent will be
= Surface area × cost/ m^2
= 44 × 500
So, Rs. 22000 will be the total cost of the canvas
Hope it's Helpful.....:)
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