# Find the Radius of Each Sphere ?

If a hemisphere is melted and four spheres of equal volume are made, the radius of each sphere will be equal to

- 1/2 of the radius of the hemisphere
- radius of the hemisphere
- 1/6
^{th}of the radius of the hemisphere - 1/4
^{th}of the radius of the hemisphere

**Answer is (1): 1/2 of the radius of the hemisphere**

**Explanation:-**Let the radius of hemisphere be R and the radius of sphere be r.

The volume of the hemisphere = 2 pai R^{3}/3

It is divided in four sphere,

The volume of a sphere = 2 pai R^{3}/3 x 4

Then, 4 pai r^{3}/3 = 2 pai R^{3}/3 x 4

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

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

R^{3} = 8 r^{3}

Cube root on both side,

R = 2 r

r = R/2

Then, the radius of each sphere will be equal to 1/2 of the radius of the hemisphere.

Hence, the answer is (1) 1/2 of the radius of the hemisphere.