# If the surface area of a spherical ball is 1256 cm2, then find the volume of sphere. (Take π = 3.14)

Given.

The surface area of a spherical ball is 1256 cm2

Formula used/Theory.

Area of sphere = 4πr2

Volume of sphere = πr3

Volume of sphere = πr3

= × (4πr2) × r

Area of sphere = 4πr2

= 1256 cm2

r2 = = 100 cm2

r = √100 cm2

r = 10 cm

Volume of sphere = × 4πr2 × r

= × 1256 cm2 × 10 cm

= 418.66 cm2 × 10 cm

= 4186.67 cm3

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