Question

Find the radius of largest sphere that is carved out of the cube of side 8 cm​

Answer 1

Given :-

• Side of cube = 8cm.

To Find :-

• Radius of Largest sphere carved out of the cube .

Solution :-

Let ,

→ Each side of cube = a cm.

→ Radius of Sphere = r cm.

From image we can see that :-

→ 2r = a

→ r = a/2

So, , we can conclude That, Radius of Sphere is Half of side of cube.

→ Side of cube = 8cm.

→ Radius of sphere = (8/2) = 4cm.

Hence, Radius of Largest sphere carved out of the cube is 4cm..

____________________

→ Volume of the cube = (side)³

→ Volume of the sphere = (4/3) * π * (radius)³.

→ Total area of cube = 6 * (side)²

→ Total surface area of sphere = 4 * π * (radius)²