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| Math Central | Quandaries & Queries |
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Question from Rodney, a student: a cylindrical container has a radius of 6cm. the container is holding 255 cm3 of water. rounded to the nearest quarter inch, what is the minimum height of the container? |
Hi Rodney,
The volume $V$ of a circular cylinder is given by
\[V = \frac13 \pi \; r^2 h \mbox{ cubic centimeters}\]
where $r$ is the radius in centimeters and $h$ is the height in centimeters. Substitute $V = 255$ and $r = 6$ and solve for $h.$
Penny
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