Answer: 6 cm, V=48π or V=150.8 cm³
It appears the question is asking for the radius, but below I have shown how to find the volume.
Step-by-step explanation:
The radius is half of the diameter. The diameter of the cone of 12 cm. Half of 12 is 6. Therefore, the radius is 6 cm.
The formula to find the volume of a cone is [tex]V=\pi r^2\frac{h}{3}[/tex]. Now that we have the radius from above, we can use that to plug into the equation along with the given height.
[tex]V=\pi (6^2)\frac{4}{3}[/tex] [expand the exponent]
[tex]V=36\pi \frac{4}{3}[/tex] [combine like terms]
[tex]V=48\pi[/tex] or [tex]V=150.8 cm^3[/tex]
