The heights of two right circular cones are in the ratio 1 5 and the perimeter of their bases are in...........

Quantitative Aptitude (CPO) Mensuration 3D

The heights of two right circular cones are in the ratio 1 : 5 and the perimeter of their bases are in the ratio 5 : 3. Find the ratio of their volumes.

This questions was previously asked in

SSC CPO 10th Nov 2022 Shift 3

View All SSCCPO Previous Year Papers

8 : 11

7 : 6

5 : 9

3 : 4

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Explanation:

Correct option:3

Volume of right circular cone = 3*pi * r²*h
Perimeter of the base of cone = 2*pi* r
Where, r = radius of the cone h= height of the cone
let us take the height of the two circular cones h1 and h2 respectively
Also, their perimeter of bases be p1 and p2 respectively Now, we have

Hence the ratio of the volume of the cones= 5:9