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 right circular cone.
Here's the explanation:
- The triangle has two legs of equal length (4 inches).
- Rotating the triangle around one leg means that the other leg will sweep out a circular path, forming the base of the cone.
- The leg that is not rotated serves as the height of the cone.
In this case, the height of the cone is 4 inches (the length of the leg about which it is rotated), and the radius of the base of the cone is also 4 inches (the length of the leg that sweeps out the circular base).
Therefore, the object formed is a right circular cone with a height of 4 inches and a base radius of 4 inches.
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