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Xxyyxx X.

asked • 08/26/17

Water is flowing out of a spherical container at a rate of 15.59 cubic feet per minute.

Water is flowing out of a spherical container at a rate of 15.59 cubic feet per minute. If the radius of the spherical container is 50 inches and it is initially full, how many minutes will it take to be one-third full?
 
Please help.

1 Expert Answer

By:

Mark M. answered • 08/26/17

Tutor
5.0 (243)

Mathematics Teacher - NCLB Highly Qualified

Xxyyxx X.

Hello sir mark thanks for your comment.
 
Where did you get the value, 15625?
 
 
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08/26/17

Mark M.

You are welcome, Xxyyxx.
My error, I cubed 25, I should have cubed 50!
I shall edit the solution.
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08/26/17

Xxyyxx X.

Ah no worries sir mark.
 
That's what i did so far, i used the formula of the sphere and substituted 50 as the radius, then converted it to cubic ft.
 
Can i ask why do i have to multiply the volume to (2/3) ?
 
also, i don't know how to solve this part "how many minutes will it take to be one-third full?"
 
Thank you again for your help Sir Mark.
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08/26/17

Mark M.

Welcome again, Xxyyxx!
The draining stops when the sphere is 1/3 full. That means 2/3 has drained out. The time for that amount is sought.
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08/26/17

Xxyyxx X.

I'm still a bit confused, so would the final answer would be;
 
(2/3)(303.01) = 202.01?
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08/26/17

Mark M.

That would be the amount of water drained.
At 15.59 ft3/min, how long would that take?
Hint 202.02 / 15.59
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08/26/17

Xxyyxx X.

ooh so the ft^3 unit will be canceled and the final value would be in minutes? 
 
202.02 ft^3 / 15.59 ft^3 per min = 12.96
 
Would you be able to help me with another problem Sir Mark? thank you so much.
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08/27/17

Mark M.

Correct. You are welcome so much.
Helping with problems is why I am here.
If you post on the page, more than one tutor may answer - multiple solutions provide varied styles/techniques.
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08/27/17

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