Q3 of 32 Page 123

If the surface area of a sphere is 2826 cm2 then find its volume. (π = 3.14)

Surface area of sphere = 2826 cm2

Surface area of sphere is given by,


Surface area = 4πr2


Substituting the values in above equation,


⇒ 2826 = 4 × 3.14 × r2


⇒


⇒ r2 = 225


⇒ r = √225


⇒ r = 15


Volume of sphere is given by,


Volume =


⇒ Volume =


⇒ Volume = 14130


Thus, volume of sphere is 14130 cm2.


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1

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i. 4 cm ii. 9 cm


iii. 3.5 cm. (π = 3.14)

 2

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Find the surface area of a sphere, if its volume is 38808 cubic cm. (π = 22/7)

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