Question

Three identical cones with base radius r are placed on their bases so that each is touching the other
two. The radius of the circle drawn through their vertices is
(a) smaller than r (b) equal to r (c) larger than r (d) depends on height of cones

Answer 1

Answer:

Consider the base of the cone is equivalent to the side of the triangle. Form an equilateral triangle from the bases of three different cones.

Side of the formed equilateral triangle will be

′

2r

′

The circumference of the circle will be identical to a circle drawn through the vertices of the cones and thus, it will have a radius of

3

2

×r, which is greater than r.