Question

From a solid cube of side 14 cm, a sphere of maximum diameter is carved out. The radius of sphere is ______.

विकल्प

• 7 cm

• 14 cm

• `7/2` cm

• `sqrt(14)` cm

Answer 1

From a solid cube of side 14 cm, a sphere of maximum diameter is carved out. The radius of sphere is 7 cm.

Explanation:

Given,

Length of a cube = 14 cm

Since, a sphere of maximum diameter is carved out of a solid cube.

∴ Diameter of the sphere = Length of cube

= 14 cm

Also, the radius of the sphere = `("Diameter")/2`

= `14/2`

= 7

Hence, the radius of the sphere is 7 cm.