SSC CPO SI and ASI Model Paper 5

(3) Let h be the height up to whichthe liquid rises in the cylindricalvessel
As per the question,
Volume of liquid in the conicalvessel = Volume of liquid in thecylindrical vessel
Volume of liquid in the conicalvessel
$=\frac{1}{3}\mathit{\pi }{\mathit{r}}^2\mathit{h}=\frac{1}{3}\times \mathit{\pi }\times 24\times 24\times 100$
$=19200\mathit{\pi }\mathit{c}{\mathit{m}}^3$
Volume of the cylindrical vessel
$=\mathit{\pi }{\mathit{r}}^2\mathit{h}=\mathit{\pi }\times 20\times 20\times \mathit{h}=19200\mathit{\pi }$
⇒ h = 48 cm