The rule of the volume of the cone is
[tex]V=\frac{1}{3}\pi r^2h[/tex]
r is the radius of the base
h is the height
Since the given volume is 235.5 cube yards
Then V = 235.5
Since the radius of the base is 5 yards
Then r = 5
Use pi = 3.14
Substitute them in the rule above
[tex]\begin{gathered} 235.5=\frac{1}{3}(3.14)(5^2)h \\ \\ 235.5=\frac{157}{6}h \end{gathered}[/tex]
Divide both sides by 157/6
[tex]\begin{gathered} \frac{235.5}{\frac{157}{6}}=\frac{\frac{157}{6}h}{\frac{157}{6}} \\ \\ 9=h \end{gathered}[/tex]
The height of the cone is 9 yards
The answer is C
