# The volume of a hollow cube is 2744x 3. Find the volume of the largest

| The volume of a hollow cube is 2744x

^{3}. Find the volume of the largest sphere which can be enclosed in it.A. x^{3}

B. x^{3}

C. x^{3}

D.

### Right Answer is: D

#### SOLUTION

Let the side of cube be a

Volume of cube = a^{3}

a^{3} = 2744x^{3}

a = 14x

Now radius of the largest sphere r = = 7x

Volume of largest sphere = r^{3} = (7x)^{3} =

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The volume of a hollow cube is 2744x 3. Find the volume of the largest