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Question

The edge of a cube is 4 cm. The greatest sphere is cut out of the cube. The surface of the sphere will be ________________.

A
16πcm2
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B
64πcm2
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C
163πcm2
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D
643πcm2
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Solution

The correct option is A 16πcm2
We know that,
The surface of the sphere =4πr2=4πr2
r=42=2cmr=42=2cm
<img>
Required surface of the sphere
=4π×22=4π×4=16πcm2

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