Question : If the volume of a sphere is 38808 cm³, then its surface area is:
Option 1: 5554 cm²
Option 2: 5574 cm²
Option 3: 5564 cm²
Option 4: 5544 cm²
Correct Answer: 5544 cm²
Solution : Volume of sphere (radius = $r$) = 38808 cm$^3$ Volume of sphere = $\frac{4}{3}\pi r^3$ Surface Area of sphere = $4\pi r^2$ Calculation: ⇒ $\frac{4}{3}\pi r^3$ = 38808 ⇒ $\frac{4}{3}\times\frac{22}{7}\times r^3$ = 38808 ⇒ $r^3$ = $\frac{38808\times21}{88}$ ⇒ $r^3$ = 9261 ⇒ $r$ = 21 cm Now, the Surface Area of the sphere = $4×227×21×21$ = 4 × 66 × 21 = 5544 cm$^2$ Hence, the correct answer is 5544 cm 2 .
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