A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into conical shaped small containers each of diameter 3 cm and height 4 cm. How many containers are necessary to empty the bowl?

The total area of a solid metallic sphere is 1256 cm³. It is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate :

(i) the radius of the solid sphere,

(ii) the number of cones recast.

[Take π = 3.14]

In the given figure, the radius of the cone is same as its height equal to 2 cm each. The sum of the volumes of the whole body is :

1. 8π cm³

2. 16 cm³

3. 32π cm³

4. 32 cm³

In the given figure, height of the conical part is 3 cm. The radius and the height of the cylindrical part are 1 cm each. The total volume of the body is :

1. 9π cm³

2. 18π cm³

3. 2π cm³

4. 4π cm³