Xxyyxx X.

# 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?

By:

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?

Report

08/26/17

Mark M.

You are welcome, Xxyyxx.
My error, I cubed 25, I should have cubed 50!
I shall edit the solution.
Report

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.
Report

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.
Report

08/26/17

Xxyyxx X.

I'm still a bit confused, so would the final answer would be;

(2/3)(303.01) = 202.01?
Report

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
Report

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.
Report

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.
Report

08/27/17

## Still looking for help? Get the right answer, fast.

Get a free answer to a quick problem.
Most questions answered within 4 hours.

#### OR

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.