Question
Download Solution PDFThe volume of the sphere is 38,808 cm3. What is the surface area of the sphere?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Volume of the sphere = 38,808 cm³
Concept used:
The formula for the volume of a sphere is:
V = (4/3)πr³
The formula for the surface area of a sphere is:
A = 4πr²
Calculation:
V = (4/3)πr³
38808 = 4/3 × 22/7 × r3
⇒ r3 = (38808 × 3 × 7)/(4 × 22)
⇒ r3 = (9702 × 3 × 7)/22
⇒ r3 = 441 × 21
⇒ r = 21 cm
Total surface area = 4πr2
⇒ 4 × 22/7 × 21 × 21
⇒ 5544 cm2
∴ Option 3 is the correct answer.
Last updated on Jul 8, 2025
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