Two cones have their heights in the ratio 1 : 3 and radii in the ratio 3 : 1. What is the ratio of their volumes?... | VSA 1m | Maths | SuperPadhai

Surface Areas And Volumes > Question

VSA1 markYear: 2020EasyCBSE Class 10

surface-areas-and-volumesconevolume-ratio

Question

Two 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 r _{1}^{2} h _{1}}{\frac{1}{3} π r _{2}^{2} h _{2}} = \frac{r _{1}^{2}}{r _{2}^{2}} \times \frac{h _{1}}{h _{2}} = \frac{9}{1} \times \frac{1}{3} = 3 : 1

+1 mark

Practice this question interactively with step-by-step AI feedback

Sign up for SuperPadhai