Find The Diameter of a Sphere ? If

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

  1. 6 cm
  2. 2 cm
  3. 3 cm
  4. 4 cm
Nitin Baudh Learner Asked on 18th August 2015 in Maths.
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  • 2 Answer(s)

    6cm

    pwan Default Answered on 19th August 2015.
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    Answer: (1) 6 cm

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

    The surface are of the sphere = 4 pai r2
    Where, r = radius of the sphere.

    According to the question,
    4 pai r3/3 = 4 pai r2
    r/3 = 1
    r = 3

    The diameter of the sphere = 2 x radius of the sphere
    = 2 x 3 = 6 cm

    Then, the diameter of the sphere is 6 cm.

    Hence, the answer is (1) 6 cm.

    Anurag Mishra Professor Answered on 4th September 2015.
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