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The diameter of a sphere is multiplied by 1/5. What is the effect on the surface area?



Answer choices:

5 times bigger
5 times smaller
25 times bigger
25 times smaller
15 times bigger
15 times smaller
125 times bigger
125 times smaller
Answer is not here

Respuesta :

mhanifa

Answer:

  • 25 times smaller

Step-by-step explanation:

Scale factor is:

  • k = 1/5

Ratio of surface areas is:

  • k² = (1/5)² = 1/25

Surface area will be 25 times smaller

Correct choice is D

MisterBrainly

We know the ratio of sides to area

  • a/b=a²/b²

So

If diameter is multiplied by 1/5

Surface are increases

  • (1/5)²
  • 1/25

25 times smaller