If the diameter of sphere is reduced by half, its surface becomes

ANSWER:

If the diameter of sphere is reduced by half, its surface becomes one fourth of  the original value.

EXPLANATION:

The 'surface area' of a sphere is 'directly proportional' to the square of the 'radius'. Radius is half the diameter, so if diameter is halved, radius is also halved. This means that the surface area gets reduced by one fourth of the original value. In others words, when the diameter is halved, the surface decreases by a 'factor of four'.

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