Identify the statement that is true.a)A cylinder has two rectangular b...
Correct answer is B because
cylinder has 2 circular bases
cone has one circular base
Identify the statement that is true.a)A cylinder has two rectangular b...
Statement: A cone has one circular base.
Explanation:
A cone is a three-dimensional geometric shape that has a circular base and a curved surface that tapers to a point called the apex. Let's break down the statement to understand why it is true.
Definition of a Cone:
A cone is a solid shape that has a circular base and a curved surface that connects the base to a single point called the apex or vertex.
Components of a Cone:
- Circular Base: A cone has one circular base, which is a flat, two-dimensional shape. The base is a perfect circle, and all points on the circle are equidistant from the center.
- Curved Surface: The curved surface of a cone connects the circular base to the apex. It is a smooth, continuous surface that tapers as it moves away from the base towards the apex.
- Apex or Vertex: The apex is the point of a cone where all the lines from the curved surface converge. It is a single point and does not have any area or volume.
Comparison with Other Shapes:
Let's compare a cone with other shapes mentioned in the given options to see why the other statements are false:
- A cylinder: A cylinder has two circular bases and a curved surface that connects the bases. Therefore, statement (a) is false.
- A cone with a rectangular base: A cone does not have a rectangular base. The base of a cone is always circular. Therefore, statement (c) is false.
- A cylinder with three circular bases: A cylinder has only two circular bases, one at the top and one at the bottom. It does not have three circular bases. Therefore, statement (d) is false.
Conclusion:
Based on the definition and components of a cone, we can conclude that a cone has one circular base. Therefore, the statement "A cone has one circular base" is true.
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