Question

The ratio of the radii of two cones having equal height is 2:3. Then, the ratio of their volumes is ......,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 4:6
(b) 8:27
(c) 3:2
(d) 4:9

Answer 1

8:27 is answer for the above question

Answer 2

Option ( d ) is correct.

Explanation :

Let r , R are radii of two cones

r : R = 2:3 ---( 1 )

Heights of two cones = h

v , V are volumes of two cones

v/V = [ (1/3)πr²h ]/[(1/3)πR²h]

After cancellation , we get

v/V = ( r/R )²

= ( 2/3 )²

= 4/9

= 4 : 9

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