If the surface area of a sphere is 314 sq cm find its volume.

(Take π = 3.14)

Given that, surface area of sphere = 314 cm²

And we know that surface area of sphere is given by

Surface area = 4 πr², r = radius of the sphere

⇒ r² = Surface area/4π

⇒

⇒ r² = (314)/(4 × 3.14)

⇒ r² = 314/12.56

⇒ r² = 25

⇒ r = √25 = 5

So, radius of the sphere = 5 cm

Volume of the sphere is given by

Volume = 4/3 πr³

⇒ Volume = 4/3 × 3.14 × 5³

⇒ Volume = (4 × 3.14 × 5 × 5 × 5)/3

⇒ Volume = 1570/3

⇒ Volume = 523.33

Thus, volume of the sphere is 523.33 cm³.