When an isosceles right triangle with legs measuring 4 inches is rotated about one of its legs, it forms a three-dimensional object known as a cone.
The leg around which the triangle is rotated acts as the height of the cone, and the other leg (which measures 4 inches) becomes the diameter of the base of the cone. Therefore, the radius of the base of the cone would be half of the diameter, which is 2 inches.
The diameter of the base of the cone is 4 inches.
So, the correct response is:
cone with a diameter of 4 inches.