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 drops at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? ( use pi= 3.14)

Answer 1

Answer: The answer is 5.02

Step-by-step explanation: 3.14 times radius squared times height divided by 45

Answer 2

You did not show the cone or give its dimensions, however we can solve for the general case:

V=(hπr^2)/3 This will be our initial volume.

And we are told that the volume leaving the cylinder is:

V=15t

So the remaining liquid at any time t, we have:

V=(hπr^2)/3-15t

All of the fluid will have been removed when V=0 so

(hπr^2)/3-15t=0

(hπr^2)/3=15t now divide both sides by 15

t=(hπr^2)/45 minutes, where h=height of cone, r=radius of cone

And since you are asked to approximate π≈3.14

t=(3.14hr^2)/45, now you just have to plug in the height and radius of the cone to solve for how many minutes it will take for the cone to empty.