Table of Contents
- 1 When a right circular cone is cut by a plane parallel to base the shape of section obtained is?
- 2 What is the shape of surface if a right circular cone is cut by a plane perpendicular to the axis?
- 3 What is the direction of the axis of a right cone?
- 4 What is the formula for the length of a right cone?
When a right circular cone is cut by a plane parallel to base the shape of section obtained is?
circle
So, the cross-section made by a plane parallel to the base will be the same as the base of the cone. As the base of the cone is circular, the answer will be a circle.
When a plane and the right circular cone intersects at the vertex?
Conic sections are a particular type of shape formed by the intersection of a plane and a right circular cone. Depending on the angle between the plane and the cone, four different intersection shapes can be formed. The types of conic sections are circles, ellipses, hyperbolas, and parabolas.
What is the shape of surface if a right circular cone is cut by a plane perpendicular to the axis?
Explanation: If a cone made to cut by a plane parallel to its axis and some distance away from it the section formed is hyperbola. If the section plane is perpendicular to axis the section is circle. If section plane passes through apex the section formed is triangle.
What are the parts of a right circular cone?
Any section of right circular cone parallel to the base forms a circle lies on the axis of the cone. A section which contains the vertex and two points of the base of a right circular cone is an isosceles triangle. Frustum of a Right Circular Cone
What is the direction of the axis of a right cone?
Let us find the equation of the right circular cone whose vertex is the origin, the axis is the line x = y/3 =z/2 and which makes a semi-vertical angle of 60 degrees. The direction cosines of the axis are:
What is a right circular cone with vertex origin?
A frustum is a portion of the cone between the base and the parallel plane when a right circular cone is cut off by a plane parallel to its base. Equation of Right Circular Cone The equation of the right circular cone with vertex origin is: (x2+y2+z2)cos2θ= (lx+my+nz)2
What is the formula for the length of a right cone?
The length at the outer edge of the cone, which connects a vertex to the end of the circular base is the slant height. Right Circular Cone Formula For a right circular cone of radius ‘r’, height ‘h’ and slant height ‘ l’, we have; Curved surface area of right circular cone = π r l