Sphere from volume to curved surface area: The volume of a sphere is 38,808 cm3. Find its curved surface area (in cm2) using π = 22/7.

Introduction / Context:Given volume, we find the radius, then compute curved surface area (CSA). Using π = 22/7 simplifies to integer-friendly values in many classic problems.

Given Data / Assumptions:

• V = 38,808 cm3, π = 22/7
• Sphere: V = (4/3) * π * r^3, CSA = 4 * π * r^2

Concept / Approach:

• Solve r from V, then compute CSA.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 1386/4158/8316: Do not equal 4πr^2 for r = 21 and π = 22/7.

Common Pitfalls:

• Using 3.14 for π here yields small rounding differences; the question expects 22/7.
• Mixing up CSA with total surface area (same for sphere) is fine, but arithmetic must match.

Final Answer:

5544 sq. cm