Question

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

Answer 1

V=Pi*r^2*h
  = Pi(3*3)*7/3 = 4.71
Answer A

Answer 2

Answer:

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

Step-by-step explanation:

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:

$V=\dfrac{1}{3}\times (\pi r^2h)$

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

$V=\dfrac{1}{3}\times (3.14\times (3)^2\times 7)\\\\\\V=\dfrac{1}{3}\times (197.82)\\\\V=65.94 \ in^3$

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:

$\dfrac{1}{14} \ min.$

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

$\dfrac{65.94}{14}\ min.\\\\=4.71\ min.$

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