A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 19 m and a depth of 1.6 m . If the water is pumped out of the pool at the rate of 15 m to the third power per hour, how many hours does it take to empty the pool? Use the value 3.14 for π , and round your answer to the nearest hour.

Question

anonymous · Answer

hard question

aivantettet26 · Answer

Differential Calculus i presume?

anonymous · Answer

wow thank you for your help @henrry123

aivantettet26 · Answer

no need to be rude to him.

anonymous · Answer

I'm not being rude!

kendricklamar2014 · Answer

You gals, just focus on answering @Beautykillzz question

aivantettet26 · Answer

*sarcastic. anyway, 15m to the third per hour. how do you write that down?

perl · Answer

nice computer

anonymous · Answer

what do you mean how do I write that down???

anonymous · Answer

pencil + paper = write

perl · Answer

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 19 m and a depth of 1.6 m . If the water is pumped out of the pool at the rate of 15 m to the third power per hour, how many hours does it take to empty the pool? Use the value 3.14 for π , and round your answer to the nearest hour.


V = pi*r^2*h  , here  r= 19/2 , h = 1.6

anonymous · Answer

Thank you @perl !!

perl · Answer

so first calculate the volume

perl · Answer

V = 3.14 * (19/2)^2 * 1.6 = 453.416

kendricklamar2014 · Answer

With what @perl gave u:  = 80.4 m^3

perl · Answer

now it tells us that the rate at which it is draining is 15 m^3 / hour,  so lets use 

d= r*t 

453.416 = 15 * t

kendricklamar2014 · Answer

So now u do: 80.4 / 11 = ? Hours

anonymous · Answer

so the answer would 80 hours???

anonymous · Answer

oh okay thank you so much! both of you!!

perl · Answer

I got t = 30.227 hours

anonymous · Answer

so the answer is 7 hours??

kendricklamar2014 · Answer

Yes ^

perl · Answer

30 hours, rounded to the nearest hour

anonymous · Answer

thank you @KendrickLamar2014  and @perl !

anonymous · Answer

so that would be 30 hours then??

perl · Answer

yes

kendricklamar2014 · Answer

Look at this: @Beautykillzz http://openstudy.com/study#/updates/4f5f972fe4b0602be43999b0

radar · Answer

@KendrickLamar2014  Note the differences in the two diameter, it is not the same problem, forget 7

radar · Answer

@aivantettet26 The flow is a rate and it could be written as:$$15 m ^{3}/hr$$ now taken for a certain time it would result in Volume of cubic meters for example, after 2 hrs, a volume of 30 cubic meters of water had been removed from the pool.  This is not a calculus problem like a related rate problem.

aivantettet26 · Answer

@radar I see, I was confused on how it was worded. Thank you

radar · Answer

@aivantettet26     Yes the way it was written while accurate, is sort of tricky.  The computer here is an iMac, yours must be a "gaming" or graphics computer, sounds like a nice set-up.

aivantettet26 · Answer

@radar well technically yeah. More like it was a do-it-yourself computer rig