A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

One acute angle of a right-angled triangle is double the other. If the length of its hypotenuse is 10 cm, then its area is

Find the area of the triangle whose sides are 5 cm, 12 cm and 13 cm.

A cylindrical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of the conical heap is 24 cm, what is the radius of its base? 

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

The number of coins of radius 0.75 cm and thickness 0.2cm required to be melted to make a right circular cylinder of height 8 cm and base radius 3 cm is:

How many hemispherical balls can be made from a cylinder 56 cm high and 12 cm diameter, when every ball being 0.75 cm in radius?