The volume of the cone is given by the formula:
[tex]V=\frac{\pi r^2h}{3}[/tex]Where:
r = radius
h = height = 8 inches
V = 300 cubic inches
π = 3.14
Substitute the values:
[tex]300=\frac{(3.14)r^2(8)}{3}[/tex]And solve for r:
[tex]\begin{gathered} \frac{300\times3}{3.14\times8}=r^2 \\ 35.828=r^2 \\ r=\sqrt{35.828} \\ r=5.98\approx6 \end{gathered}[/tex]Answer: the radius is 6 inches
