A cylinder and a cone have equal base and equal height The ratio of the radius of base to height is ...........

Quantitative Aptitude ( CCS) Mensuration 3D

A cylinder and a cone have equal base and equal height. The ratio of the radius of base to height is 5 : 12. Find the ratio of the total surface area of the cylinder to that of the cone.

7 : 15

16 : 9

17 : 9

9 : 17

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Explanation:

Answer & Explanation
17 : 9
Explanation:
Let radius = 5x and height = 12x
Then slant height = √[(5x)2 + (12x)2]= 13x
Required ratio = 2πr(h+r) : πr(l+r)
=17:9