Q9 of 48 Page 270

The ratio of the radii of two cones having equal height is 2 : 3. Then, the ratio of their volumes is ……..

If ratio of radii are 2:3


Then;


Let the radii of both cones be 2x and 3x


Volume of cone = πr2h


Volume of 1st cone = π(2r)2h


= πr2h


Volume of 2nd cone = π(3r)2h


= 3πr2h


The ratio of their volumes is


πr2h: 3πr2h


4:9

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