The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 7 inches and the ra
dius of the base as 3 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.)
The first thing we should know in this case is that by definition the flow of liquid is given by: Q = V / t Where, V: volume t: time The volume of the cone is given by: V = (pi * r ^ 2 * h) / (3) Where, r: radio h: height Substituting the values we have: V = (3.14 * ((3) ^ 2) * 7) / (3) V = 65.94 in ^ 3 We now turn off the time of the flow equation: t = V / Q Substituting values: t = (65.94) / (14) t = 4.71 minutes Answer: It will take for all the liquid in the funnel to pass through the nozzle about: t = 4.71 minutes
