A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee is then poured into a vertical cone of radius 8 cm and height 16 cm. The percentage of the volume of the cone that remains empty is:

The area of two equilateral triangles are in the ratio 25 : 36 . Their altitudes will be in the ratio: 

The perimeter of rectangle of length 2 (x + 3) cm and breadth 2 (x + 1) cm is double the perimeter of a square of area 225 cm². Find the area of rectangle.

A square has a perimeter equal to 24 units. If the length of each side of the square is reduced by 2 units, then find the area( in sq units) of the square.

The perimeter of a square and a circular field are same. If the area of circular field is 3850 sq meter. What is the area in meter of the square?

The total area of a circle and a square is equal to 2611 sq.cm. The diameter of the circle is 42 cms. What is the sum of the circumference of the circle and the perimeter of the square?

The perimeter of a square and equilateral triangle is the same. If the diagonal of the square is $$ {6 \ sqrt {2}} $$ cm, then the area (square cm) of the triangle is