Final answer:
The volume of the cone in terms of π is approximately 1081π in³.
Step-by-step explanation:
The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius and h is the height of the cone.
In this case, the radius is given as 5 in and the height is given as y = 13 in. So the volume of the cone would be:
V = (1/3)π(5 in)²(13 in) = (1/3)π(25 in²)(13 in) = (325/3)π in³.
Therefore, the volume of the cone in terms of π is approximately 1081π in³.