Q3 of 63 Page 20

Two cones have their heights in the ratio 1 : 3 and the radii of their bases in the ratio 3 : 1. Find the ratio of their volumes.

Let the heights of the cones be h and 3h units and the radii of their bases be 3r and r respectively. Then, their volumes are


V1= π(3r)2×h and V2= π×r2×3h


=


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(ii) radius 3.5 cm, height 12 cm


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(i) radius 7 cm, slant height 25 cm


(ii) height 12 cm, slant height 13 cm.

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