If a solid right circular cone of height 24 cm and base radius 6 cm is melted and recast in the shape of sphere, then the radius of the sphere is

1. 4 cm

2. 6 cm

3. 8 cm

4. 12 cm

If a solid circular cylinder of iron whose diameter is 15 cm and height 10 cm is melted and recasted into a sphere, then the radius of the sphere is

1. 15 cm

2. 10 cm

3. 7.5 cm

4. 5 cm

A metallic spherical shell of internal and external diameters 4 cm and 8 cm respectively is melted and recast into the form of a cone of base diameter 8 cm. The height of the cone is

1. 12 cm

2. 14 cm

3. 15 cm

4. 18 cm

A cubical ice cream brick of edge 22 cm is to be distributed among some children by filling ice cream cones of radius 2 cm and height 7 cm up to its brim. The number of children who will get the ice cream cones is

1. 163

2. 263

3. 363

4. 463