# Find The Diameter of a Sphere ? If

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

- 6 cm
- 2 cm
- 3 cm
- 4 cm

**Answer: (1) 6 cm**

**Explanation:-
**Formula –

The volume of the sphere = 4 pai r

^{3}/3

where, r = radius of the sphere,

The surface are of the sphere = 4 pai r^{2}

Where, r = radius of the sphere.

According to the question,

4 pai r^{3}/3 = 4 pai r^{2}

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.