The volume of a cylinder is given by:
[tex]V=\pi\cdot r^2\cdot h[/tex]
where:
r = radius
h = height = 8yd
V = 72π
so:
[tex]\begin{gathered} 72\pi=\pi_{}\cdot r^2\cdot8 \\ \end{gathered}[/tex]
solve for r:
[tex]\begin{gathered} r^2=\frac{72\pi}{8\pi} \\ r^2=9 \\ r=\sqrt[]{9} \\ r=3 \end{gathered}[/tex]
Since the diameter is equal to:
[tex]\begin{gathered} d=2r \\ d=2\cdot3 \\ d=6 \end{gathered}[/tex]
Answer:
6yd
