Math CentralQuandaries & Queries


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 $h.$


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