The volume of a sphere is 288π cm3 . Find its surface area.
Answer & explanation
Correct answer: option 4
We know that,
Volume = \(\frac{4}{3}\) πr3
Surface area = 4πr2
We have,
The volume of a sphere = 288π cm3
Now, According to the question,
288π = \(\frac{4}{3}\) πr3
= 72 × 3 = r3
= r = 6
Surface area = 4π (6)2 = 4π × 36 = 144π cm2