If the volume of a sphere is 38808 cm3, then its surface area is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 5544 cm2.
Volume of a sphere = 38808 cm3
Volume of sphere = (4/3)πr3
TSA of a sphere = 4πr2
According to the question;
⇒ (4/3) × 22/7 × r3 = 38808
⇒ r3 = 9261
⇒ r = 21
Now,
⇒ Surface area of a sphere = 4 × 22/7 × 21 × 21 = 5544 cm2