___
Interestingly, in this question, it does not matter how big the base area of the containers are!
(I can prove this. See * below or email me @ changchengliang@gmail.com and I will explain why.)
The length of time is entirely dependent on the height of the container alone.
Since it takes 1hr to fill Tank A, which is 10cm high,
Time taken to fill Tank B is also 1 hr.
Time taken to fill Tank C is 3 hrs.
___
*
___
*
juz to make things clearer, take a look at the following drawing:
Assuming that the tank on the left is having the same shape and volume as the tank on the right. The only difference is that the one on the left is partitioned into many small cubicles. Each cubicle has a base area of 1cm2.
Question: When the rain falls, on both "tanks", will the time to fill one tank to the brim be different from the time taken to fill the other tank?
I am sure you will conclude that the answer is no. Hence, the time to fill any tank with rain is the height of the tank itself.
