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Question

The largest sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.

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Solution

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 = 10.5 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 = 10.5 cm

Radius of the sphere = 5.25 cm

Now, the volume of the sphere =

Therefore, the volume of the largest sphere inside the given cube is.


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