The surface area of a sphere is 616 cm². The volume of the sphere would be:

  1. 1437 1/3 cm2
  2.  1225 3/5 cm2
  3.  2500 cm2
  4.  2100 cm2

 

Anurag Mishra Professor Asked on 11th December 2015 in Maths.
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1 Answer(s)

Answer:  (1) 1437   1/3 cm²

Explanation:-
The surface area of sphere = 616 cm²                  (Given)

Formula-
The surface area of sphere = 4πr²

Then, 4πr² = 616
r² = 616 x 7/22 x 4
r² = 49
Square on both side,
r = 7 cm

Formula-
The volume of the sphere = 4 πr³/3

Then, the volume of sphere = 4 x 22 x 7 x 7 x 7 /3 x 7
= 4312/3
= 1437  1/3  cm³

Hence, the answer is  (1) 1437   1/3 cm³.

 

Anurag Mishra Professor Answered on 11th December 2015.
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