Question

An isosceles right triangle with legs measuring 4 inches is rotated about one of its legs. What three-dimensional object is formed as a result?(1 point)
Responses

cylinder with a diameter of 4 inches
cylinder with a diameter of 4 inches

cone with a diameter of 4 inches
cone with a diameter of 4 inches

cylinder with a diameter of 8 inches
cylinder with a diameter of 8 inches

cone with a diameter of 8 inches
cone with a diameter of 8 inches

Answer 1

When an isosceles right triangle with legs measuring 4 inches is rotated about one of its legs, it will form a cone. The leg that it is rotated around serves as the height of the cone, and the other leg becomes the radius of the cone's base.

Since the leg that is not rotated has a length of 4 inches, the diameter of the base of the cone will be twice the radius:

- Radius = 4 inches
- Diameter = 2 * Radius = 2 * 4 inches = 8 inches

Therefore, the correct response is:

**cone with a diameter of 8 inches**.