Math Is Fun Forum

mathland

Member

Registered: 2021-03-25

Posts: 444

Swimming Pool

Water is leaking out of a swimming pool that measures 20 ft by 40 ft by 6 ft. The amount of water in the pool at a time t is W(t) = 35,000 − 20t^2 gallons, where t equals the number of hours since the pool was last filled. At what rate is the
water leaking when t = 2h?

NOTE: I am not seeking the answer but the set up only. I will do the math work.

Thank you.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,640

Re: Swimming Pool

Find dW/dt and then put in the given t value.

B

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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
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Swimming Pool

Find dW/dt and then put in the given t value.

B

Hello Bob.

Let me see.

dW/dt = d/dt [35,000 − 20t^2]

dW/dt = -40t

What do I do with dW/dt?

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

Re: Swimming Pool

Find dW/dt and then put in the given t value.

B

Hello Bob.

Let me see.

dW/dt = d/dt [35,000 − 20t^2]

dW/dt = -40t

What do I do with dW/dt?

Plug t=2 hours into dW/dt as the problem tells you to.

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The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Swimming Pool

Find dW/dt and then put in the given t value.

B

Hello Bob.

Let me see.

dW/dt = d/dt [35,000 − 20t^2]

dW/dt = -40t

What do I do with dW/dt?

Plug t=2 hours into dW/dt as the problem tells you to.

Ok. Very easy to do when someone explains what is going on.