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3 years ago

You leave at 11:45am it takes 2 and 50 mins to get to ocean city what time will you get there

Mathematics

1 answer:

tia_tia [17]3 years ago

6 0

If you leave at 11:45am and it takes 2hrs and 50 mins to get to ocean city you will arrive at 2:35pm.

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Step-by-step explanation:

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From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

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

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

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We substitute this values to obtain,

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3 years ago

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