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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