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
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