Respuesta :

The answer is: Its surface area becomes (1/4)th

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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