If the surface area of a sphere is 616 sq cm, what is its volume?
Correct Answer: 4312/3 cm3
Explanation:
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