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betty closes the nozzle 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 nozzle to pass through(Use Pi = 3.14​

Sagot :

MrRoyal

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

[tex]r = 3[/tex] -- radius

[tex]h = 7[/tex] --- height

[tex]Rate = 14in^3/min[/tex]

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

This gives:

[tex]V = \frac{1}{3} * 3.14 * 3^2 * 7[/tex]

[tex]V = \frac{1}{3} * 197.82[/tex]

[tex]V = 65.94in^3[/tex]

To calculate the time, we make use of the following rate formula.

[tex]Rate = \frac{Volume}{Time}[/tex]

Make Time the subject

[tex]Time= \frac{Volume}{Rate }[/tex]

This gives:

[tex]Time= \frac{65.94in^3}{14in^3/min}[/tex]

[tex]Time= \frac{65.94in^3}{14in^3}min[/tex]

Cancel out the units

[tex]Time= \frac{65.94}{14} min[/tex]

[tex]Time= 4.71 min\\[/tex]

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