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Put these steps in a helpful order for solving a cylinder volume problem when you’re given circumference

C

and height

h

(and want a quick reasonableness check).

Compute volume with $V=\pi r^2 h$ , keeping units consistent.
Check your radius against your estimate (for example, if $C\approx 6\pi$ , then $r\approx 3$ ).
Solve for the radius using $r=\frac{C}{2\pi}$ .
Do a final reasonableness check on the volume and units (cm inputs should lead to $\text{cm}^3$ ).
Make a quick estimate: is the radius likely a few cm, tens of cm, etc., based on the size of $C$ ?

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