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Maths-

General

Easy

Question

The radii of two cones are same and the ratio of their heights is 2:3, The ratio of their volumes is

2:3
3:2
4:9
9:4

hint Hint:

Volume of a cone = (1/3)πr2h

The correct answer is: 2:3

We have given that
Radius is same , Let radius be r
Height ratio is 2:3
H1:h2 = 2: 3
Therefore the if we compare the volumes of the cones
$fraction numerator text Volume of a conel end text over denominator text Volume of a cone end text 2 end fraction equals fraction numerator 1 third pi r squared h 1 over denominator 1 third pi r squared h 2 end fraction$
= $h subscript 1 over h subscript 2$

= $2 over 3$
Therefore the correct option is a) 2:3

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