Q4 of 48 Page 13

Find the volume of a sphere whose surface area is 154 cm2.

Concept Used:


The volume of Sphere


The surface area of a sphere = 4πr2


Where r is the radius of the sphere.


Given: Surface Area of Sphere = 154 cm2


Assumption: Let r be the radius of the sphere.


Explanation:


Let us find the radius of sphere first,


The surface area of a sphere = 4πr2


⇒ 154 cm2 = 4πr2







Hence, The radius of the sphere = 3.5 cm.


Now, The Volume of the sphere


Putting the value of r in the formula we get,


The volume of the Sphere




Hence, the volume of the sphere is


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