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How long would it take to empty a hot tub using only a drinking straw?

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Clarify Data Points: The bathtub size may be 6 ft * 6 ft* 2 ft- standard size. Let's assume there is zero evaporation of water. Single straw is used to draw water. 

What we Know: 

1. Volume of the bathtub: 6*3*3 = 72 cubic feet. Convert to meters. = 21 cubic meters = 2100 cubic cm.

2. Volume of straw =length = 20 cm, width = 0.5 cm or radius = 0.25 cm. The formula = (pi)* (r)*(r) * (h) = 20 * 0.0625* 3.14 = 3.4 or approx 4 cubic cm.

3. Time taken to fill and empty a straw = This seems like about 3 seconds to draw the water and empty elsewhere. 

Formula: 

No. of trips = (Volume of tub/volume of straw) 

= (21000000 / 4 )   = approx 500,000 trips

Next, let us look at how long it will take to execute this many trips. 

 = 5000000 * 3 = 1500000 seconds = 416 hours = 416/24 = 17 days.

Edge Cases: There may be partly filled pipe 5% of the time. THis may increase the time to 426 hours. 

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Good Answer

***Correct numbers***

Volume of bathtub = 6*6*2 = 72 Cubic Feet = 2200 Cubic cm

20*0.0625*3.14 = 3.925 which can be Approx to 4 Cubic cm

2200/4 = 550 trips (when u have converted both the volume to Cubic cm )

550*3 Sec = 1650 Sec = 27.5 Mins

Please correct me if I am wrong
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