Question

The dimensions of a conical funnel are shown below.



Nisha 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 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π=3.14.)

Answer 1

First you need to find the volume of the cone

Answer 2

The volume of any cone with radius 'r' and height h is

V = (pi*r^2*h)/3

Answer 3

75.36

Answer 4

Once you know the volume of the cone, you can use it to figure out how long that amount of liquid will take to drip out of the cone

Answer 5

good

Answer 6

Now we have this idea

Amount dripped out = (Rate of drip)*(Time)

Answer 7

So this means

Amount dripped out = (Rate of drip)*(Time)

75.36 = 15*t

where t is the time

Note: we set "Amount dripped out" to all 75.36 cubic inches because want all the liquid to drip out

Answer 8

So your last step is to solve for t

Answer 9

5.024

Answer 10

very good

Answer 11

so roughly 5 minutes (if you're rounding to the nearest minute)

Answer 12

well nvm, you want to round up (to get that fraction portion too), so 6 minutes (if you're rounding)