Which three-dimensional shape has a circular base and tapers to a point?

Study for the TExES Core Subjects EC-6 Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

Which three-dimensional shape has a circular base and tapers to a point?

Explanation:
The three-dimensional shape that has a circular base and tapers to a point is known as a cone. A cone is defined by its circular base at one end, while the other end narrows seamlessly to a single point called the apex. This characteristic distinguishing shape makes a cone easily recognizable, commonly seen in everyday objects such as traffic cones, ice cream cones, and party hats. The unique feature of a cone is its smooth, curved surface connecting the circular base to the apex, which distinguishes it from other shapes. For instance, a cube is geometrically defined by its six equal square faces, while a cylinder has two parallel circular bases connected by a curved surface, lacking the tapered structure of a cone. Similarly, a pyramid has a polygonal base and triangular faces that meet at a single point, but its base is not circular, making the pyramid fundamentally different from a cone. Therefore, the defining characteristic of a cone is its circular base and tapering structure, confirming it as the correct answer to this question.

The three-dimensional shape that has a circular base and tapers to a point is known as a cone. A cone is defined by its circular base at one end, while the other end narrows seamlessly to a single point called the apex. This characteristic distinguishing shape makes a cone easily recognizable, commonly seen in everyday objects such as traffic cones, ice cream cones, and party hats.

The unique feature of a cone is its smooth, curved surface connecting the circular base to the apex, which distinguishes it from other shapes. For instance, a cube is geometrically defined by its six equal square faces, while a cylinder has two parallel circular bases connected by a curved surface, lacking the tapered structure of a cone. Similarly, a pyramid has a polygonal base and triangular faces that meet at a single point, but its base is not circular, making the pyramid fundamentally different from a cone. Therefore, the defining characteristic of a cone is its circular base and tapering structure, confirming it as the correct answer to this question.

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