Q6 of 32 Page 123

Find the volume of a sphere if its surface area is 154 sq.cm.

Given: surface area of sphere = 154 cm2

And we know surface area of sphere is given by,


Surface area = 4πr2


Substituting values in the above equation, we get



⇒


⇒


⇒ r2 = 12.25


⇒ r = √12.25


⇒ r = 3.5


If radius of sphere is 3.5 cm, then volume can be easily found as the formula of volume of sphere is given by,


Volume = 4πr3/3


⇒ Volume =


⇒ Volume =


⇒ Volume = 179.67


Thus, volume of sphere is 179.67 cm3.


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