A circular region rotated 360 degrees around its diameter (serving as an axis) generates a
a) cube
b) rectangle
c) cone
d) sphere
thank you but how do you know the answer is d and not c?
i just guessed
To determine which object is generated when a circular region is rotated 360 degrees around its diameter, we can visualize the process and analyze the results.
When a given shape rotates 360 degrees around an axis, it completes a full rotation and returns to its original position. Let's consider the options listed:
a) Cube: A cube is not generated by rotating a circular region. The rotation of a circle produces a three-dimensional object, while a cube is a six-faced regular polyhedron.
b) Rectangle: Similar to a cube, rotating a circle around its diameter does not generate a rectangle. A rectangle is a two-dimensional shape with four sides, while the rotational process creates a three-dimensional object.
c) Cone: Rotating a circular region around its diameter does form a cone. A cone is a three-dimensional geometric shape with a circular base and a pointed top, often resembling an ice cream cone. The circular region, when rotated, creates the curved surface of the cone.
d) Sphere: The correct answer is d) sphere. When a circular region rotates 360 degrees around its diameter, it generates a sphere. A sphere is a three-dimensional object with all points equidistant from its center. The rotation of the circle shapes a spherical surface.
In summary, rotating a circular region around its diameter results in a sphere, not a cube, rectangle, or cone.