the slant height of a right circular cone is 10 M and its height is 8 M find the area of its curved surface
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Answered by
5
Given:
Slant height of the cone (l) = 10 m
Height of the cone (h) = 8 m
Find:
C.S.A. of the cone
Solution:
Let the radius of the cone be 'r' m
Pythagoras theorem:-
=> H² = P² + B²
- Hypotenuse = 10 m
- Perpendicular = 8 m
Base = r m
=> (10)² = (8)² + r²
=> 100 = 64 + r²
=> 100 - 64 = r²
=> 36 = r²
=> √36 = r
=> 6 = r
=> r = 6m
The Curved surface area of the cone => πrl
=> 22/7 × 6 × 10
=> 22/7 × 60
=> 1320m²
Hence, the Curved surface area of the cone is 1320 m².
I hope it will help you.
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Answered by
3
Answer:
=> (10)² = (8)² + r²
=> 100 = 64 + r²
=> 100 - 64 = r²
=> 36 = r²
=> √36 = r
=> 6 = r
=> r = 6m
Step-by-step explanation:
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