A cylindrical can whose base is horizontal and of radius 3.5 cm contains sufficient water so that when a sphere is placed in the can, the water just covers the sphere. Given that the sphere just fits into the can, calculate :

(i) the total surface area of the can in contact with water when the sphere is in it.

(ii) the depth of the water in the can before the sphere was put into the can. Given your answer as proper fractions.

The volume of a conical tent is 462 m³ and the area of the base 154 m². The height of the conical tent is :

1. 15m

2. 12 m

3. 9 m

4. 24 m

If two cylinders of the same lateral surface have their radii in the ratio 4 : 9, then the ratio of their heights is

1. 2 : 3

2. 3 : 2

3. 4 : 9

4. 9 : 4

The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is

1. 10 : 17

2. 20 : 27

3. 17 : 27

4. 20 : 37