Surface area of a sphere with radius 4 cm: Compute the total surface area (in square centimeters).

Difficulty: Easy

Correct Answer: 64π sq cm

Explanation:


Introduction / Context:
This is a straightforward substitution into the sphere surface area formula. The test is about using 4πr^2, not 2πr or 4/3πr^3.



Given Data / Assumptions:

  • r = 4 cm
  • Surface area S = 4πr^2


Concept / Approach:
Compute r^2 and multiply by 4π to keep the answer in exact π form as options are given with π.



Step-by-Step Solution:
S = 4π * 16 = 64π sq cm



Verification / Alternative check:
Numeric check: with π ≈ 3.1416, S ≈ 201.06 cm^2, consistent with 64π.



Why Other Options Are Wrong:
69π, 35π, 48π are unrelated; 32π is half the correct value (confusing with 2πr^2, which is not a standard formula).



Common Pitfalls:
Using circumference or volume formulas instead of surface area; mis-squaring 4 as 4 rather than 16.



Final Answer:
64π sq cm

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