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 8 inches cylinder with a diameter of 8 inches 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 cone with a diameter of 8 inches
Answers
GPT-4o mini
When an isosceles right triangle with legs measuring 4 inches is rotated about one of its legs, it forms a cone. The leg that is the axis of rotation becomes the height of the cone, and the other leg becomes the radius of the base of the cone.
Since the length of the legs is 4 inches, when the triangle is rotated about one of its legs:
- The height of the cone is 4 inches (the leg that is the axis).
- The radius of the base of the cone is also 4 inches (the other leg).
Therefore, the correct answer is:
**Cone with a diameter of 8 inches.** (The diameter is twice the radius, which is 4 inches.)
Since the length of the legs is 4 inches, when the triangle is rotated about one of its legs:
- The height of the cone is 4 inches (the leg that is the axis).
- The radius of the base of the cone is also 4 inches (the other leg).
Therefore, the correct answer is:
**Cone with a diameter of 8 inches.** (The diameter is twice the radius, which is 4 inches.)