SSC CPO SI and ASI Model Paper 6

Question : 141 of 200

Marks: +1, -0

The ratio of the volumes of two cones is 1 : 10 and the ratio of their radii is 1 : 2. Find the ratio of their height.

Solution:

(4) Let

h_1

and

h_2

be the heights ofcones

C_1

and

C_2

, and

R_1

and

R_2

bethe radii of cones

C_1

and

C_2

According to the question,

R_1

R_2

= 1 : 2
and

1 /3πR_1^h_1:1/3πR_2^2h_ 2

= 1: 10

\Rightarrow

h_1

:

4h_2

= 1: 10

\Rightarrow

h_1

:

h_2

= 2: 5

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