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A right circular cone looks like a martini glass. Actually, the martini glass is only a part of one half of the cone. Think also of an ice cream cone, again being part of one half.
Formally, the right circular cone is the surface in three-dimensional space swept by a line that intersects a point and the domain of the circumference of a circle, said point lying on a line perpendicular (right angle) to the circle and intersecting its radius. Since the line sweeps through a point, there are two nappes, one on each side of that single point. The perpendicular line is called the axis, and the point is called the vertex.
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What is name of half of a right circular cone?
I don't think there is a special name for that.
If a right circular cone intersects a plane that goes through both nappes of the cone but not through the vertex the resulting curve will be what?
if a right circular cone intersects a plane that goes through both nappes of the cone, but not through the vertex, the resulting curve will be a hyperbola
What three-dimensional shape is formed by rotating a right triangle 360 degrees around one of its legs?
The result is a right cone
Given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone?
True
What is the lateral area of a right circular cone if the diameter of the base is 4 m and the slant height of the cone is 15m?
95.08 m2
