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 Question from Mack: I need to find how close the actual volume was of a cylinder (with both ends closed) to being optimized. Can you please send step by step response? Height = 11cm Circumference = 24.4cm

Hi Mack,

The volume $V$ of a circular cylinder is given by

$V = \; \pi \; r^2 h$

where $r$ is the radius of the base and $h$ is the height. You know that $h=11$ cm so all you need is the radius.

The circumference $C$ of a circle is given by

$C = 2 \; \pi \; r$

where again $r$ is the radius. You know that $C=24.4$ cm so substitute this into the above expression and solve for $r.$ Substitute this value of $r$ into the expression for $V.$ This will give the volume in cubic centimeters.

Penny

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