SSC Quantitative Aptitude Mensuration Question Bank Mensuration-II (II)

A conical flask is full of water. The flask has base radius r and height h. This water is poured into a cylindrical flask of base radius mr. The height of water in the cylindrical flask is

A) \[\frac{h}{2}{{m}^{2}}\]

B) \[\frac{2h}{m}\]

C) \[\frac{h}{3{{m}^{2}}}\]

D) \[\frac{m}{2h}\]

Correct Answer: C

Solution :

[c] Volume of cylinder = Volume of water \[=\pi \,{{(mr)}^{2}}\times \text{Height}=\frac{1}{3}\pi {{r}^{2}}h\] \[\therefore \] \[\text{Height}=\frac{h}{3{{m}^{2}}}\]

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