Question

Find the volume of each cone.​

Answer 1

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 $V=\pi r^2\frac{h}{3}$. Now that we have the radius from above, we can use that to plug into the equation along with the given height.

$V=\pi (6^2)\frac{4}{3}$                    [expand the exponent]

$V=36\pi \frac{4}{3}$                       [combine like terms]

$V=48\pi$ or $V=150.8 cm^3$