A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 1.5 cm and 2 cm. The radius of the third ball is :

1. 0.5 cm

2. 1 cm

3. 1.5 cm

4. 2.5 cm

A sphere of diameter 12.6 cm is melted and cast into a right circular cone of height 25.2 cm. The radius of the base of the cone is :

1. 2 cm

2. 2.1 cm

3. 3 cm

4. 6.3 cm

A metallic sphere of radius 10.5 cm in melted and then recast into small cones, each of radius 3.5 cm and height 3 cm. The number of cones formed is :

1. 21

2. 63

3. 126

4. 130

A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to empty the bowl?

1. 27

2. 35

3. 54

4. 63