Question

question 15 (multiple choice worth 1 points)
(06.02 mc)
the dimensions of a conical funnel are shown below.
lola 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 12 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (use π = 3.14)
○ 4.19 minutes
○ 2.09 minutes
○ 9.42 minutes
○ 3.14 minutes

Explanation:

Step1: Calculate the volume of the cone

The formula for the volume of a cone is \(V=\frac{1}{3}\pi r^{2}h\). Given \(r = 4\) inches and \(h=3\) inches, and \(\pi = 3.14\).

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Step2: Calculate the time

The rate of liquid flow is \(12\) cubic inches per minute. Use the formula \(t=\frac{V}{r}\), where \(V\) is the volume and \(r\) is the rate.

$$t=\frac{50.24}{12}\approx 4.19$$

Answer:

\(4.19\) minutes (corresponding to the option \(4.19\) minutes)