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
43πr2
4πr2
πr2
2πr2
A
4πr2
B
πr2
C
43πr2
D
2πr2
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Solution
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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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