The ratio of curved surface area of two cones is 1 9 and the ratio of slant height of the two cones ...........

Quantitative Aptitude (CPO) Mensuration 3D

The ratio of curved surface area of two cones is 1 : 9 and the ratio of slant height of the two cones is 3 : 1. What is the ratio of the radius of the two cones?

1 : 3

1 : 9

1 : 27

1 : 1

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Explanation:

Correct option 3 : 1:27

Curved surface area of cone = πrl
Ratio of curved surface area given as 1:9,
So,(πL1 R1 / πL2R2) = 1/9
(R1/R2)x (3/1)=1/9
R1/R2 = 1/27
..R1: R2 is 1:27