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

Question

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​

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Verity 5 years 2021-08-26T03:05:31+00:00 1 Answers 13 views 0

Answers ( )

  1. Neala
    0
    2021-08-26T03:06:32+00:00
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    Answer:

    4.71 minutes

    Step-by-step explanation:

    Incomplete question [See comment for complete question]

    Given

    Shape: Cone

    r = 3 — radius

    h = 7 — height

    Rate = 14in^3/min

    Required

    Time to pass out all liquid

    First, calculate the volume of the cone.

    This is calculated as:

    V = \frac{1}{3} \pi r^2h

    This gives:

    V = \frac{1}{3} * 3.14 * 3^2 * 7

    V = \frac{1}{3} * 197.82

    V = 65.94in^3

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

    Rate = \frac{Volume}{Time}

    Make Time the subject

    Time= \frac{Volume}{Rate }

    This gives:

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

    Time= \frac{65.94in^3}{14in^3}min

    Cancel out the units

    Time= \frac{65.94}{14} min

    Time= 4.71 min\\

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