Two right circular cones have their heights in the ratio 1 : 3 and radii in the ratio 3 : 1, what is the ratio of th... | VSA 1m | Maths | SuperPadhai

Surface Areas And Volumes > Question

VSA1 markYear: 2020EasyCBSE Class 10

surface-areas-and-volumesconeratio

Question

Two right circular cones have their heights in the ratio

1 : 3

and radii in the ratio

3 : 1

, what is the ratio of their volumes?

Solution

1

\frac{V _{1}}{V _{2}} = \frac{\frac{1}{3} π ( 3 r ) ^{2} h}{\frac{1}{3} π r ^{2} ( 3 h )} = \frac{9 r ^{2} h}{3 r ^{2} h} = 3 : 1

+1 mark

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