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Asked by Sreepriya
Feb 24, 2015
Member since Apr 11, 2014
Since, the height of a sphere is the diameter, the cone and cylinder have height 2r.
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
Ratio of CSA 's a sphere ,cylinder and a cone = 4πr2:2πrh : πrl
= 4πr2:4πr2 : πr2√5
= 4 : 4 : √5