The dimensions of a conical funnel are shown below:

A conical funnel is shown with the height of the cone as 6 inches and the radius of the base as 2 inches.

Nadia 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 10 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.)

2.51 minutes

7.53 minutes

4.18 minutes

3.14 minutes

Question

Josue Logan

Mathematics

3 May, 20:55

The dimensions of a conical funnel are shown below:

A conical funnel is shown with the height of the cone as 6 inches and the radius of the base as 2 inches.

Nadia 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 10 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.)

2.51 minutes

7.53 minutes

4.18 minutes

3.14 minutes

+2

Answers (1)

Know the Answer?

Branson Ewing · Answer 1

Volume of a conical funnel = π r² h/3

v = 3.14 * (2in) ² * 6in/3

v = 3.14 * 4in² * 2in

v = 25.12 in³

25.12 in³ : 10 in³ per minute = 2.512 minutes

It will take 2.51 minutes for all the liquid to pass through the nozzle.