What will be the volume of the largest sphere which can be carved out of a cube of side 6 cm? (in cm3)
Show answer & explanation
Correct answer: B
Explanation
The Correct answer is Option 2 i.e.113.14.
The diameter of the largest sphere carved out of the cube = Side of the cube
The volume of the sphere = 4/3πr3
Let the side of the cube be "s" m and the sphere's radius be "r" m.
Diameter of largest sphere carved out of cube = Side of cube
⇒ 2 × r = s
⇒ r = 6/2 m = 3 m
Volume of sphere = 4/3πr3
⇒ 4/3 × 22/7 × (3)3 m3 = 113.14 m3
The volume of the largest sphere carved out of the cube is 113.14 m3