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Hint: we need to know the formulae for finding the volume of cone and cylinder to proceed further.

Volume of conical flask with base-radius r and height h is $\frac{1}{3}\pi {r^2}h$

Volume of a cylindrical flask with radius r and height h is $\pi {r^2}h$

Here, it is given that the base radius of the cylindrical flask is $mr$.

Let the Height of water in a cylindrical flask be $H$.

Flask full of water is poured from conical flask to cylindrical flask. We need to find the height of water in the cylindrical flask.

$$ \Rightarrow \frac{1}{3}\pi {r^2}h = \pi {(mr)^2}H$$

$H = \frac{h}{{3{m^2}}}$

$\therefore $The height of water in cylindrical flask is $H = \frac{h}{{3{m^2}}}$

Note: Initially volume of the water is equal to volume of conical flask. Now the water is poured from that conical flask into a cylindrical flask. The height of water in the cylindrical flask is equal to the volume of water.

Volume of conical flask with base-radius r and height h is $\frac{1}{3}\pi {r^2}h$

Volume of a cylindrical flask with radius r and height h is $\pi {r^2}h$

Here, it is given that the base radius of the cylindrical flask is $mr$.

Let the Height of water in a cylindrical flask be $H$.

Flask full of water is poured from conical flask to cylindrical flask. We need to find the height of water in the cylindrical flask.

$$ \Rightarrow \frac{1}{3}\pi {r^2}h = \pi {(mr)^2}H$$

$H = \frac{h}{{3{m^2}}}$

$\therefore $The height of water in cylindrical flask is $H = \frac{h}{{3{m^2}}}$

Note: Initially volume of the water is equal to volume of conical flask. Now the water is poured from that conical flask into a cylindrical flask. The height of water in the cylindrical flask is equal to the volume of water.

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