A Jocker’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the cloth required to make 10 such caps.
Solution:
The shape of a cone is produced by stacking several triangles and spinning them around an axis. It has a total surface area and a curved surface area because it has a flat base.
Given height of the cone, h _=_ 24 cm
Radius, r = 7 cm
We know that l2 = h2+r2
l2 = 242+72
l2 = 576+49
l2 = 625
l = √625
l = 25
Curved surface area = π rl
= (22/7)×7×25
= 22×25
= 550 cm2
So the area of the cloth required to make 10 such caps = 10×550 = 5500
Hence the area of the cloth required to make 10 caps is 5500 cm2.
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