.A sphere, cylinder and cone are of the same radius and same height. Find the ratio of their curved surfaces
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According to the question, the radii of cone, cylinder and sphere be r and as the heights of cone and cylinder are equal, it will be 2r as the height of sphere is 2r.
CSA of sphere = 4πr²
CSA of cylinder = 2πr x 2r = 4πr² (As h = 2r)
CSA of cone = πrl
= πr√r² + 4r²
= πr√5r²
= πr²√5
Thus the ratio stands 4πr² : 4πr² : πr²√5
Removing 2πr² we get 4 : 4 : √5
Hope that helps !!
CSA of sphere = 4πr²
CSA of cylinder = 2πr x 2r = 4πr² (As h = 2r)
CSA of cone = πrl
= πr√r² + 4r²
= πr√5r²
= πr²√5
Thus the ratio stands 4πr² : 4πr² : πr²√5
Removing 2πr² we get 4 : 4 : √5
Hope that helps !!
Avishek:
Plz pick it as best if it was helpful !! :)
yes its correct
Nope, now it is correct
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yeah,now it's correct
:)
i cant believe it --or just refer the same question in www.meritnation. i saw it there as 4:2:root2---WHY and why??
i saw it 4:4:root 5
in meritnation itself
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