Math, asked by Agnel25, 11 months ago

Question by AGNEL25
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Answered by SaavnM
1

Answer:

r:4:✓5

Step-by-step explanation:

Since, the height of a sphere is the diameter, the cone and cylinder have height 2r.

Then Curved surface area of Sphere= 4πr²

Curved surface area of cylinder = 2πr(2r) = 4πr²

Curved surface area of cone = πrl

where, l = √(r2 + h2 ) = √( r2 + (2r)2) = √(5r2) = r√5

⇒ Curved surface area of cone = π√5r2

Now,

Ratio of CSA 's a sphere ,cylinder and a cone = 4πr2:2πrh : πrl

= 4πr2:4πr2 : πr2√5

= 4 : 4 : √5

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