The volume of a cylinder is given by the formula:
[tex]V=\pi r^2h[/tex]Where
r is the radius and h is the height
The height is given as 7.8 cm.
The circumference is 20π cm. Let's find the radius:
[tex]\begin{gathered} C=2\pi r \\ 20\pi=2\pi r \\ r=\frac{20\pi}{2\pi} \\ r=10 \end{gathered}[/tex]We have radius and height. Now, let's substitute these into the formula and find the volume of the cylinder. Shown below:
[tex]\begin{gathered} V=\pi r^2h \\ V=\pi(10)^2(7.8) \\ V=2450.44\text{ cu. cm.} \end{gathered}[/tex]
