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During a chemistry lab, you use a funnel to pour slime into a flask. The radius of the funnel is 4 cm and the height is 12 cm. You pour the slime into the funnel at a rate of 60 mm per second and the slime flows out of the funnel at a rate of 40 mm per second. How long will it be before the funnel overflows with slime? Note: 1 mm is equal to 1 cubic centimeter. you do NOT need to do any conversions for this problem

 Jun 7, 2021
 #1
avatar+128473 
+3

Volume  of  funnel (assuming a cone)  =    (pi/3) ( 4^2) (12)   ≈  201.06  cm^3

 

Each second,  the volume  of slime  in the  fummel grows  by  60 - 40  =  20 cm^3

 

So

 

201.06  / 20   ≈  10.05  sec  to  overflow

 

cool cool cool

 Jun 7, 2021
edited by CPhill  Jun 7, 2021
 #2
avatar+102 
+2

you're the best bro, tysm I really appreciate it haha

blahblah101  Jun 7, 2021
 #3
avatar+128473 
+2

OK, glad  to help.......

 

 

cool cool cool

CPhill  Jun 7, 2021

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