A tent is such that its lower part is cylindrical and upper part is conical. The
height and diameter of cylindrical part is 2.1 m and 3 m. respectively. Slant
height of conical part is 2.8 m. Find the total canvas used in making the test. If
cost of canvas is Rs. 500 per m. Find cost of making the tent.
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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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