Answer: 27π in<em>.</em>³
Step-by-step explanation: To find the volume of a cone, start with the formula for the volume of a cone.
Volume = ![\frac{1}{3} \pi r^{2} h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E%7B2%7D%20h)
Notice that the cone has a radius of 3 inches and a height of 9 inches so plugging into the formula, we have
.
Start by simplifying the exponent and moving π to the end.
So we have
.
Next, notice that 3 in 1/3 and our height, 9, cross cancel to 1 and 3.
Now multiplying, (1) (9 in.²) (3 in.) is 27π in<em>.</em>³.
Therefore, the volume of the ice cream cone is 27π in<em>.</em>³.