If the surface area of a sphere is 616 sq cm, what is its

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If the surface area of a sphere is 616 sq cm, what is its volume ?

1. 4312/3 cm³
2. 4102/3 cm³
3. 1257 cm³
4. 1023 cm³

Correct Option: A

Curved surface area of the sphere = 4πr²
or 616 = 4πr²
⇒ πr² = 616/4 = 154
⇒ r² = (154 x 7) / 22 = 49
∴ r = √49 = 7 cm
∴ Volume of the sphere = (4/3)πr³
= (4/3) x (22/7) x 7 x 7 x 7
= 4312 / 3 cm³