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​

Answer 1

Answer:

(c) larger than r

Step-by-step explanation:

Let C1,C2 and C3 be the vertices of the three cones. r is the radius of these cones. Let R be the radius of the circle drawn through their centers.

Alternatively, the centers when joined form an equilateral triangle with side 2r. The circumcircle of this triangle will be our required circle. The circumradius of this circle will be

R = 2/√3 r = 1.155r > r Therefore, clearly R > r.