Question

How can pyramids and cones be alike?
${\text{A}}{\text{.}}$ Number of sides of its base becomes larger and larger.
${\text{B}}{\text{.}}$ Number of sides of its base becomes smaller and smaller.
${\text{C}}{\text{.}}$ Number of sides of its base are equal.
${\text{D}}{\text{.}}$ None of the above.

Answer 1

Hint: Pyramid and cone both these three-dimensional shapes are alike as their lateral faces meet at a vertex.

Complete step-by-step answer:

General form of a pyramid is cone, actually cone is composed of a simple closed curve in a plane and all of the line segments that join that curve with a fixed point not in the plane of the curve, this simple closed curve is called the base of the cone and fixed non coplanar point is called vertex.

They both are alike as their lateral faces meet at a vertex and also one more thing common between them is, they both have the same way of calculating volume.

So, in simple terms we can say that as the number of sides of its base becomes larger and larger than a pyramid becomes a cone.

So, option A is the right answer.

Note: Cone is any three-dimensional shape taper from a flat base to a single vertex and pyramids are cones with polygonal bases. This question requires theoretical knowledge of three-dimensional shapes like cone and pyramid