Lolita closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 12 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π=3.14.). A] 2.35 minutes. B] 4.71 minutes. C] 1.57 minutes. D] 3.14 minutes

Respuesta :

Out of the following choices given, if the liquid drips at the rate of 12 cubic inches per minute, it will take approximately 3.14 minutes for all the liquid to pass through the nozzle. The correct answer will be D. 

Answer:

Option d. 3.14 minutes.

Step-by-step explanation:

To answer this question, we first determine the volume of the inverted cone through the equation,

                                      V = Bh/3

where B is the area of the base and h is the height. 

                                  V = (π)(3 in)²(4 in) / 3

                                       V = 37.68 in³

Now the liquid drips at the rate of 12 in³ every minute, divide the rate of the water dripping by the number of house,

                                               n = (37.68 in³)/12 in³/min

                                                  n = 3.14 mins

It would take 3.14 minutes for all the liquid to pass through the nozzle.

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