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CBSE Class 10 Basic Math 2026 All Sets Solved Paper

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Question : 4 of 20
Marks: +1, -0
A cone with slant height 10 cm and radius 6 cm is surmounted on a hemisphere of same radius. The height of the toy is:
Solution:  
Given slant height (l) = 10 cm and radius (r) = 6 cm.
By Pythagorean theorem:
l2=h2+r2l^2 = h^2 + r^2
(10)2=h2+(6)2(10)^2 = h^2 + (6)^2
100=h2+36100 = h^2 + 36
h2=100−36=64h^2 = 100 - 36 = 64
h=64=8 cmh = \sqrt{64} = 8\,\mathrm{cm}
So, height of the cone = 8 cm
The height of a hemisphere equals its radius = 6 cm.
Total height of the toy = 8 cm + 6 cm = 14 cm
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