Answer:
Given, radius (r) and height (h) of conical vessel is 5 cm and 24 cm respectively. Volume of water in conical vessel \[=\frac{1}{3}\pi {{r}^{2}}h\] \[=\frac{1}{3}\times \frac{22}{7}\times 5\times 5\times 24\] \[=\frac{13200}{21}c{{m}^{3}}\] Since water is emptied into a cylindrical vessel. \[\because \] Volume of water in conical vessel = Volume of water in cylindrical vessel \[\frac{13200}{21}=\pi {{R}^{2}}H\] \[\frac{13200}{21}=\frac{22}{7}\times 10\times 10\times H\] \[H=\frac{13200\times 7}{21\times 22\times 10\times 10}\] \[H=2\,cm\] \[\therefore \] Height of water rise in cylindrical vessel is \[2\text{ }cm\].
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