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)Responsescylinder with a diameter of 4 inchescylinder with a diameter of 4 inchescylinder with a diameter of 8 inchescylinder with a diameter of 8 inchescone with a diameter of 8 inchescone with a diameter of 8 inchescone with a diameter of 4 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 around which it is rotated acts as the height of the cone, and the length of the other leg (which is also 4 inches) becomes the radius of the cone's base.
The diameter of the base of the cone would therefore be twice the radius:
- Radius = 4 inches
- Diameter = 2 × 4 inches = 8 inches
So, the correct response is:
**cone with a diameter of 8 inches**.
The diameter of the base of the cone would therefore be twice the radius:
- Radius = 4 inches
- Diameter = 2 × 4 inches = 8 inches
So, the correct response is:
**cone with a diameter of 8 inches**.