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a joker's cap is 10 m high and radius of its base is 24 m.Find the canvas required to make such 20 caps ???
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a joker's cap is 10 m high and radius of its base is 24 m.Find the canvas required to make such 20 caps ???
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Answer:
as the shape of the joker's cap is cone then
CSA of cone = 22/7 ×24× 26
= 1,961.14286
canvas required to make 20 caps = 1,961.14286 × 20
=39222.8572 Ans
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GiveN :-
To FinD:-
SolutioN:-
Here , a jokers cap is given . And we know that jokers cap is in the shape of a cone . Now lets find the Curved surface area of cone. And CSA of cone is given by ,
[tex]\large\boxed{\boxed{\red{\sf CSA_{cone} = \pi r \sqrt{r^2+h^2}}}}[/tex]
CSA of one cap :-
⇒ CSA = π r √ [ h² + r² ]
⇒ CSA = π r √ [ (10cm)² + (24cm)² ]
⇒ CSA = π r √ [ 100cm² + 576cm²]
⇒ CSA = π r × √676cm²
⇒ CSA = 22/7 × 24 cm × 26 cm
⇒ CSA = 1961 . 14 cm²
CSA of 20 caps :-
= CSA of one cap * no. of caps
= 1961.14 cm² * 20
= 39222.85 cm²
= 39222.85/10,000 m²
= 3.92m² ≈ 4m².
Hence the CSA is 4m².
[tex]\Large{\boxed{\pink{\sf CSA \:=\: 3.92 m^2\:\approx\:4m^2}}}[/tex]