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4 years ago

8

Kail Ryans 10 laps around the track each day each lap around the track is 400 m meters how many times around the track will she

need to run a total of 12 kilometers

1 answer:

Semmy [17]4 years ago

5 0

Hello

1 km = 1000 m

12 km = 12,000 m

Each day, she runs 10 * 400 m = 4000 m

12,000 m / 4000 m = 3

It will take 3 days.

Have a nice day

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Answer:

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Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

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For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

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$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

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Hello!

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~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

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