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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


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

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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