Question : The volume of the sphere is 38,808 cm3. What is the surface area of the sphere?
Option 1: 4455 cm2
Option 2: 4433 cm2
Option 3: 5544 cm2
Option 4: 3344 cm2
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Correct Answer: 5544 cm 2
Solution : Given, the volume of the sphere = 38,808 cm 3 Let the radius of the sphere be $r$. According to the question, $\frac{4}{3}\pi r^3$ = 38,808 ⇒ $r^3$ = $\frac{38808×3×7}{4×22}$ = 9261 ⇒ $r$ = 21 So, the surface area of the sphere = $4\pi r^2$ = $4×\frac{22}{7}× 21^2$ = 5544 cm 2 Hence, the correct answer is 5544 cm 2 .
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