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If the volume of a sphere is same in magnitude as its surface area, then its radius should be

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1 unit

2 units

3 units

4 units

answer is C.

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Detailed Solution

It is given that the volume of a sphere is same in magnitude as its surface area.
We know that the volume of a sphere =

43 π r 3 .

And the surface area of the sphere is

4 π r 2,

where r is the radius of the sphere.
Since the volume and surface area are equal, we can equate them as follows,

43 π r 3 = 4 π r 2 ⇒ r = 3 units

Therefore the radius of the sphere is 3 units.
So, the correct option is option (3).

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