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?

Q: 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?

Volume of water = Volume of conical flask = (1/3)πr2h Now, the water is poured into cylindrical flask. ∴ Volume of cylinder = Volumes of water ⇒ π (mr)2 x Height = (1/3)πr2h ∴ Height = h/3m2

h/2 m2
2h/m
h/3m2
m/2h

Correct Answer: h/3m2

Explanation:

Volume of water = Volume of conical flask = (1/3)πr²h
Now, the water is poured into cylindrical flask.
∴ Volume of cylinder = Volumes of water
⇒ π (mr)² x Height = (1/3)πr²h
∴ Height = h/3m²

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