Acone shaped funnel has a radius of 3 inches and a height of 7 inches.

betty 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 14 cubic inches per minute, how long will it take for all the liquid in the funnel to pass through the nozzle? (use π = 3.14.)

a) 4.71 minutes

b) 3.14 minutes

c) 14.13 minutes

d) 9.42 minutes

Hence, it will take 4.71 minutes  for all the liquid in the funnel to pass through the nozzle.

A cone shaped funnel has a radius(r) of 3 inches and a height(h) of 7 inches.

Now, the volume(V) of the cone is given as:

Hence, on putting the value of r and h in the formula of volume we obtain the volume of cone funnel as:

If the liquid drips at the rate of 14 cubic inches per minute.

i.e. for 14 cubic inches it takes 1 minutes.

Now for 1 cubic inches it will take:

Hence, for all the liquid ( i.e. 65.94 cubic inches) to pass the nozzle is the time taken is:

Hence, it will take 4.71 minutes  for all the liquid in the funnel to pass through the nozzle.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.