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The radius of a sphere is decreased by 10%. By what percent does its surface area decrease?

Competition practiceAreas & Volumes
  • A10
  • B19
  • C20
  • D27.1

Step-by-Step Solution

Surface area scales as the square of the radius: , so the new surface area is 81% of the old. The decrease = 100 − 81 = 19%.
Answer: B) 19

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