Answer: 27π in.³
Step-by-step explanation: To find the volume of a cone, start with the formula for the volume of a cone.
Volume = [tex]\frac{1}{3} \pi r^{2} h[/tex]
Notice that the cone has a radius of 3 inches and a height of 9 inches so plugging into the formula, we have [tex](\frac{1}{3}) (\pi) (3 in.)^{2}(9 in.)[/tex].
Start by simplifying the exponent and moving π to the end.
So we have [tex](\frac{1}{3})(9 in.^{2})(9 in.)(\pi)[/tex].
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.³.
Therefore, the volume of the ice cream cone is 27π in.³.
