What will be the Diameter? If

If the volume of a sphere is numerically equal to its surface area, then its diameter is:

  1. 2 cm
  2. 3 cm
  3. 4 cm
  4. 6 cm
Monis Rasool Professor Asked on 29th August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 6 cm

    Explanation:-
    Formula –
    The volume of the sphere = 4 pai r3/3

    And the surface area of the sphere = 4 pai r2

    If the volume of a sphere is numerically equal to its surface area,
    Then, 4 pai r3/3  = 4 pai r2
    r = 3
    Then, the diameter of the sphere = 2 x r = 2 x 3
    = 6 cm

    Hence, the answer is (4) 6 cm.

    Anurag Mishra Professor Answered on 31st August 2015.
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