Answer:
We are given that the circumference of the base of the cone is 17.6in.
The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
Since the base of the cone is a circle, we can use this formula to find the radius of the base:
C = 2πr
17.6 = 2πr
r = 17.6/(2π)
r ≈ 2.8
Now, we can use the formula for the volume of a cone to find the volume of the given cone:
V = (1/3)πr^2h
V = (1/3)π(2.8)^2(11.1)
V ≈ 71.3 cubic inches
Therefore, the volume of the right circular cone is approximately 71.3 cubic inches.