The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is

Given: edge of the cube = 4.2 cm

A right circular cone is a Cone whose height is perpendicular to the diameter (radius) of the base circle.

In a cube, a largest right circular Cone is formed when its base lies on one of the faces of the Cube and its tip lies on the opposite face.

∴ Diameter of largest right circular Cone in Cube = edge length of cube.

∴ Diameter = 4.2 cm

⇒ Radius = = = 2.1 cm

∴ Radius of the largest right circular Cone in Cube is 2.1 cm