Delhi Police Constable Exam Model Paper 7

Given: Ratio of radii of two cones = 3 : 2
Ratio of heights of two cones = 2 : 3
Formula:
Volume of cone = $\frac{1}{3}\times \mathit{\pi }{\mathit{r}}^2\mathit{h}$
Calculation:
Let ${\mathit{r}}_1=3\mathit{a}\mathit{n}\mathit{d}{\mathit{r}}_2=2$
${\mathit{h}}_1=2$ and ${\mathit{h}}_2=3$
Ratio of volume of two cones ⇒
⇒ $\left[\frac{1}{3}\right]\times \mathit{\pi }\times {\mathit{r}}_1^2\times {\mathit{h}}_1:\left[\frac{1}{3}\right]\times \mathit{\pi }\times {\mathit{r}}_2^2\times {\mathit{h}}_2$
⇒ ${\left({\mathit{r}}_1\right)}^2{\mathit{h}}_1:{\left({\mathit{r}}_2\right)}^2{\mathit{h}}_2$
⇒ $3^2\times 2:2^2\times 3$
⇒ $3:2$