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**AlbertMThomas****Member**- Registered: 2013-08-21
- Posts: 9

The volume of an empty container is 15 m³. If water is poured into the container at a rate of 2t + 2 m³ per minute where t is the time. What is the time needed to fill the container?

PLEASE PROVIDE STEPS!!

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,763

hi AlbertMThomas

If water is poured into the container at a rate of 2t + 2 m³ per minute where t is the time.

Think about what that rate represents:

It's in cubic metres per minute so that's

At the start t = 0 and V = 0. At the end V = 15 at (say) t = T

So integrate to get V in terms of t; put V = 15 (the constant of integration will come from t = V = 0) and solve for T

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**AlbertMThomas****Member**- Registered: 2013-08-21
- Posts: 9

Thanks!!

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