The base of a cone and a cylinder have the same radius 6 cm. They have also the same height 8 cm. The ratio of the curved surface of the cylinder to that of the cone is?

4 : 3
5 : 3
8 : 5
8 : 3

Correct Answer: 8 : 5

Explanation:

Ratio of curved surface area of cylinder and cone = [2πrh] / [πr√h² + r²]
= [2 x 6 x 8] / [6 x √6² + 8²]
= 96/(6 x 10) = 96/60 = 8/5 = 8 : 5

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