Answer:
radius: 5.4 cm
Step-by-step explanation:
The volume of a cone is given by the equation
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
where
V is the volume
r is the radius
h is the height
For the cone in this problem, we have:
[tex]V=300 cm^3[/tex] is the volume
[tex]h=10 cm[/tex] is the height
Therefore, we can re-arrange the equation to find the radius of the cone:
[tex]r=\sqrt{\frac{3V}{\pi h}}=\sqrt{\frac{3(300)}{\pi(10)}}=5.4 cm[/tex]
