An edge of a cube measures 10 cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone is:

1. 260 cm³

2. 260.9 cm³

3. 261.9 cm³

4. 262.7 cm³

If the height of a cone is doubled, then its volume is increased by :

1. 100%

2. 200%

3. 300%

4. 400%

If the volumes of two cones are in the ratio of 1 : 4 and their diameters are in the ratio 4 : 5, then the ratio of their heights is :

1. 1 : 5

2. 5 : 4

3. 5 : 16

4. 25 : 64

The radii of the bases of a cylinder and a cone are in the ratio 3 : 4 and their heights are in the ratio 2 : 3. Then their volumes are in the ratio:

1. 3 : 4

2. 4 : 3

3. 8 : 9

4. 9 : 8