The dimensions of a conical funnel are shown below.

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.)

Question

The dimensions of a conical funnel are shown below.
 
 

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.)

anonymous · Answer

attachment

pfenn1 · Answer

The first thing you need is the total volume of fluid in the cone.  Do you know how to find the volume of a cone?

anonymous · Answer

v=1/3pi r^2h

pfenn1 · Answer

Great, so once you have the volume of fluid in the cone, we know that the liquid drips out at 12 cubic inches per minute.  So how would be calculate how long it takes to drip out?

anonymous · Answer

divide it by the volume?

anonymous · Answer

So 37.69911184307752/12 ,right?

pfenn1 · Answer

Close.  You would divide the volume by the rate to get the time.  You can actually figure this out by doing a dimensional analysis.  The volume is in cubic inches, the rate is given in cubic inches per minute so$$\left( Vol \over rate \right)= \left( inches^3 \over inches ^3/\min \right)=time(\min)$$

pfenn1 · Answer

Is 37.699 the volume you got?  I haven't had a chance to calculate it yet.

anonymous · Answer

yes

pfenn1 · Answer

Did you get 3.14 for your answer?

anonymous · Answer

yes

anonymous · Answer

Are you sure your correct, I believe it was b. could you check?