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fredd [130]
3 years ago
11

A cylindrical tank has a height of 12 feet and a diameter of 16 feet. Jane fills the tank with water at a rate of 6 cubic feet p

er minute. Calculate how long it would take Jane to fill the tank without overflowing it. Explain your reasoning. Round as needed.
Mathematics
1 answer:
cupoosta [38]3 years ago
4 0
If the diameter is 16 feet, then the radius for the tank will have to be half that, 

\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=8\\
h=12
\end{cases}\implies V=\pi \cdot 8^2\cdot 12\implies V=\stackrel{ft^3}{768\pi}

now, that's how many ft³ of water the tank can hold, since she is filling it up at a rate of 6 ft³ per minute, namely in 1 minute 6 ft³ have gone in, then it'll be

768π/6  how many minutes it'll take.

namely, how many times does 6 go into 768π?  well, 768π/6.
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