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A heap of paddy is in the form of a right circular cone whose diameter is 4.2 m and height of 2.8m. If the heap is to be covered exactly by a canvas to protect it from rain, find the area of the canvas needed

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40.08 m2

23.079 m2

25.059 m2

32.81 m2

answer is B.

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Detailed Solution

Given, h = 2.8 m, Diameter = 4.2 m
r = 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟 = 4.2 = 2.1
2 2

Slant height = l = √𝑟2 + ℎ2

l = √(2.1)2 + (2.8)2

= √4.41 + 7.84
= √12.25
= 3.5 m
The canvas needed will be equal to the curved surface area of the cone.
Curved surface area = πrl
= π × 2.1 × 3.5
= 22 × 2.1 × 3.5
7
= 23.079 m2

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