Question

The dimensions of a conical funnel are shown below:

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.

Answer 2

Answer:

2.51 minutes

Step-by-step explanation:

Step 1: Find the total volume of the funnel

The volume of a cone can be calculated by below formula:

$V=\frac{1}{3}pi*r^{2}h$

Where V is volume, pi is π, r is the radius of the base of the cone and h is the height of the cone

pi = 3.14

r = 2 inches

h = 6 inches

$V=\frac{1}{3}pi*r^{2}h$

$V=\frac{1}{3}*3.14*2^{2}*6$

$V=25.12 in^{3}$

Step 2: Determine the time taken for funnel to empty

Assuming rate of emptying of funnel is constant

$t=\frac{V}{R}$

Where t is the time taken to empty the funnel and R is the rate at which the liquid drips

V = 25.12 cubic inches

R = 10 cubic inches/minute

$t=\frac{V}{R}$

$t=\frac{25.12}{10}$

$t=2.512 minutes$