Question

The geometrical shape with no vertices and no flat surface is
A. Sphere
B. Cone
C. Cylinder
D. None of these

Answer 1

Hint: Let us the imagine the question from the various angle that the vertices are generated when the corner is formed due to any geometrical object. And the flat surface is clear as it is like the shape of a square or the rectangle from any of one side. Hence, from various observations, we can find the required answer.

Complete step by step answer:

As per the given the geometrical shape with no vertices and has no flat surface.
Taking an idea through a diagram of the object as

Here we can see that the cone has a bottom flat surface and a vertex at the top and also cylinder has the flat surface at the bottom and top both.
And it is clear from the diagram that a sphere has no clear flat surface as well as no vertices.
Hence, option (a) is the correct answer.

Note: A sphere is a geometrical object in three-dimensional space that is the surface of a ball. Like a circle in a two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance r from a given point in a three-dimensional space
A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. It is the idealized version of a solid physical tin can having lids on top and bottom
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.