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:
[tex]V=\frac{1}{3}pi*r^{2}h[/tex]
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
[tex]V=\frac{1}{3}pi*r^{2}h[/tex]
[tex]V=\frac{1}{3}*3.14*2^{2}*6[/tex]
[tex]V=25.12 in^{3}[/tex]
Step 2: Determine the time taken for funnel to empty
Assuming rate of emptying of funnel is constant
[tex]t=\frac{V}{R}[/tex]
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
[tex]t=\frac{V}{R}[/tex]
[tex]t=\frac{25.12}{10}[/tex]
[tex]t=2.512 minutes[/tex]
