Q14 of 48 Page 264

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


Radius of sphere is


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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