which three-dimensional figure is formed by the rotation given?
Which three-dimensional figure is formed by the rotation given?
Answer: When a two-dimensional shape is rotated around a line (often one of its axes), it creates a three-dimensional figure. The resulting shape depends on the original 2D shape being rotated.
Here are a few common examples:
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Circle: If a circle is rotated around its diameter, it forms a sphere.
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Rectangle: If a rectangle is rotated around one of its sides, it creates a cylinder.
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Triangle: If a right triangle is rotated around one of its legs, it forms a cone.
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Semi-circle: Rotating a semi-circle around its diameter also forms a sphere.
If you have a specific 2D shape in mind, let me know, and I can provide more details about the 3D shape it forms when rotated.
Summary: Rotating a 2D shape around a line results in a 3D figure such as a sphere, cylinder, or cone, depending on the original shape.