Question

If the volume and surface arra of a sphere are numerically equal,then find its radius.

Answer 1

According to the question,

           v of sphere = sa of sphere
        i.e., 4/3 pi r^3 = 4 pie r^2

       (4 gets cancelled, pie gets cancelled and r^2 gets cancelled)
   
           so, r/3 = 1
  therefore, r = 1*3 = 3



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Answer 2

Hi friend ,

Volume of sphere = 4/3πr^3
Surface area of sphere = 4πr^2
It is given in the question that :
Volume of sphere = Surface area of sphere
4/3πr^3 = 4πr^2
r^3/r^2 = 4π×3/4π
r = 3 units
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