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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration
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A semi-circular lamina of radius 35 cm is folded so that the two bounding radii are joined together to form a cone.
Find the radius of the cone.
Answer:
Solution:
The shape of a cone is produced by stacking several triangles and spinning them around an axis.
Given radius of the semi circular lamina, r = 35 cm
A cone is formed by folding it.
So the slant height of the cone, l = 35 cm
Let r1 be radius of cone.
Semicircular perimeter of lamina becomes the base of the cone.
r = 2r1
r = 2 r1
35 = 2 r1
r1 = 35/2= 17.5 cm
Hence the radius of the cone is 17.5 cm.
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