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a pool with dimansions is filling with water at a rate of 20 gallons per minute. about how many hours will it take to fill the pool if 1 cubic foot = 7.5 gallons? 

                                    The top is 20f diameter and the side is 4f.

this question will need a calculater.

 Jan 6, 2015

Best Answer 

 #1
avatar+111329 
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Let's find the voume of the pool...it's a "cylinder," so the volume is given by...

pi x r^2 x h = pi x (10 ft)^2 x (4 ft)  = about 1256.64 cubic ft

And it is being filled with  20 /7.5  = 8/3 cubic ft of water per min

So...the number of minutes it takes to fill the pool is

1256.64 / (8/3)  = 471.24 min

And dividng this by 60, we have...7.854 hrs

 

 Jan 6, 2015
 #1
avatar+111329 
+5
Best Answer

Let's find the voume of the pool...it's a "cylinder," so the volume is given by...

pi x r^2 x h = pi x (10 ft)^2 x (4 ft)  = about 1256.64 cubic ft

And it is being filled with  20 /7.5  = 8/3 cubic ft of water per min

So...the number of minutes it takes to fill the pool is

1256.64 / (8/3)  = 471.24 min

And dividng this by 60, we have...7.854 hrs

 

CPhill Jan 6, 2015

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