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Question

A sphere of radius r is inscribed in the cylinder such that the curved surface of the sphere touches the cylinder as shown in the given figure. The area of curved surface of cylinder is
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  1. 43πr2
  2. 4πr2
  3. πr2
  4. 2πr2

A
4πr2
B
πr2
C
43πr2
D
2πr2
Solution
Verified by Toppr

A shown in the figure, the radius of the cylinder will be r and height of the cylinder will be 2r.
curved surface area of the cylinder = 2πrh
=2π(r)(2r)
=4πr2

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