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sanjual bobbal

· started a discussion

· 1 Months ago

proper solution (Question: 188632.0 )

please give the proper solution of it

Question:
If the ratio of the volumes of two right circular cones is 2 : 3 and the ratio of the radii of their bases is 1 : 2, then the ratio of their heights will be –
Options:
A) 3 : 4
B) 8 : 3
C) 4 : 3
D) 3 : 8
Solution:
Ans: (b) Ratio of volumes of two right circular cone  

= 2 : 3

Ratio of Radii of their base = 1 : 2

So, ratio of their heights = \(\cfrac{2}{(1)^2} : \cfrac{3}{(2)^2} \)

= 8 : 3 

shiv

· commented

· 1 Months ago

Volume of right circular cone V = 1/3 * πrrh
(here, variable parts are "r" and "h")
so, V/rr = h
use it: h1 = 2/(1*1) = 2
h2 = 3/(2*2) = 3/4
so, h1: h2 = 2: (3/4) = 8:3

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Click on "show solution" button after viewing report to display the detailed solution of the question.

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All the Best.
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