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
A
43πr2
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B
4πr2
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C
πr2
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D
2πr2
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Solution
The correct option is B4πr2 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