# The radius of the sphere initially was: (use π=22/7)

If the radius of a sphere is increased by 2 cm, then its surface area increases by 352 cm^{2}. The radius of the sphere initially was: (use π=22/7)

- 3
- 4 cm
- 6 cm
- 5 cm

**Answer: (3) 6 cm**

**Explanation:-**

Let the radius of the sphere be R cm.

**Formula-
**The surface area of the sphere = 4 π R²

If the radius of the sphere increased by 2 cm, then its surface area increased by 352 cm².

Then, 4 π (R + 2)² – 4 π R² = 352

{(R + 2)² – R²} = 352 x 7/4 x 22

R² + 2² + 2 x 2 x R – R² = 28

4 + 4 R = 28

4 R = 28 – 4

4 R = 24

R = 24/4

R = 6 cm

Then, radius of the sphere is 6 cm.

Hence, correct answer is option (3) 6 cm.