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How many planes does a cone have?

Updated: 4/28/2022
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8y ago

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A true mathematical cone has none. Conventional cones have a circular plane at one end.

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8y ago
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Q: How many planes does a cone have?
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How many symmetry does a cone have?

A cone has infinitely many planes of symmetry because its base is a circle, which also has an infinite amount of planes of symmetry. Prove it by making a 3D model of it and they look at the number of vertexes.


How many lines of symmetry does a circular cone have?

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Which shape has edges and no corners?

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What is the frustum of cone?

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Which 3d shape has 3 faces?

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What has 1 curved face and 2 flat face?

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Many solids. Some are: A sphere intersected by two planes, An ellipsoid intersected by two planes, Any blob intersected by two planes, A toroid (doughnut) with a wedge removed, A double-cone intersected by two planes, A cylinder.


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There are many possible answers: A cylinder A cone sliced by two planes perperndicular to its axis A toroid (doughnut) sliced by a plane vertical to its axis. A sphere sliced by two planes An ellipsoid sliced by two planes A paraboloid sliced by two planes etc.


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If they are all plane faces then there is no such figure. Otherwise it could be a sphere intersected by two planes, an ellipsoid intersected by two planes, a cone intersected by two planes, or one of several other shapes.


Why does a cylinder have one more plane of symmetry than a cone?

A cylinder and a cone have infinitely many planes of symmetry because of the circular face. However, a cylinder can also be cut in half lengthwise (imaging cutting a soda can in half), while a cone cannot (imagine cutting a ice cream cone in half). Therefore, a cylinder has one more plane of symmetry than a cone.


Which shape has curved and flat faces?

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