Question

The largest sphere is cut off from a cube of side 6 cm. The volume of the sphere will be

(a) 27$\mathrm{\pi }$ cm³

(b) 36$\mathrm{\pi }$ cm³

(c) 108$\mathrm{\pi }$ cm³

(d) 12$\mathrm{\pi }$ cm³

Answer 1

In the given problem, the largest sphere is carved out of a cube and we have to find the volume of the sphere.

Side of a cube = 6 cm

So, for the largest sphere in a cube, the diameter of the sphere will be equal to side of the cube.

Therefore, diameter of the sphere = 6 cm

Radius of the sphere = 3 cm

Now, the volume of the sphere =

Therefore, the volume of the largest sphere inside the given cube is . So, the correct option is (b).