Latest NTSE Aptitude Question SOLUTION: If S1 and S2 be the whole surface of a sphere and the curved surface of the circumscribed cylinder, then S1 is equal to a)S2, b)2S2 c)(1/2)S2 d)(2/3)S2

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NTSE Question Papers:

(#M40007071) NTSE Logical Reasoning question Circumscribed Cylinder Keep an EYE

If S1 and S2 be the whole surface of a sphere and the curved surface of the circumscribed cylinder, then S1 is equal to
a)S2, b)2S2 c)(1/2)S2 d)(2/3)S2

Asked In NTSE Sanjana Patnaik (12 years ago)

Solved Shiv Kumar Read Solution (1)

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Read Solution (1) :

Shiv Kumar  (12 years ago)

ANS: A

Explanation:
Let the radius of the sphere be r.
The radius of the circumscribing cylinder = r
H = height of the cylinder = Diameter of the sphere = 2r
Whole surface of the sphere = 4r^2 ___(1)
Curved surface of the cylinder = (2r)H = (2r)2r = 4r^2 ___(2)
From (1) and (2), Whole surface of a sphere = Curved surface of the circumscribed cylinder

= 4r2

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