Verified Answer :

Here you have the solution. If you are interested in the law which I have used here, you can read about countinuity of fluid principle.

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Volume of lower cylinder = π r^2 2h = 2πr^2h
Volume of upper cylinder = π (2r)^2 h = 4πr^2h
Volume of container = 2πr^2h + 4πr^2h = 6πr^2h
It took 18 minutes to fill the container of volume 6πr^2h, the it will take 2 * 18 / 6 = 6 minutes to fill the lower container of 2πr^2h.
Answer: 6 minutes