This question is Based on Mensuration Chapter of M.L Aggarwal book for ICSE BOARD for class 10.
A Jocker’s cap is in the form of a right circular cone for which base radius and height are given.
Find the area of the cloth required to make 10 such caps.
This is the Question Number 12, Exercise 17.2 of M.L Aggarwal.
Deepak BoraNewbie
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.
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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 = 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.