The total area of a circle and a square is 5450 cm². The diameter of the circle is 70 cm. What is the difference between the circumference of the circle and the perimeter of the square?

Piyush formed a larger cube from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

What is the height (in cm) of an equilateral triangle whose each side is 8 cm?

The diameters of two circles are 12 cm and 20 cm, respectively and the distance between their centres is 16 cm. Find the number of common tangents to the circles.

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

Each side of an equilateral triangle is 6 cm. Find its area.

What is the volume of a cylinder if the radius of the cylinder is 10 cm and height is 20 cm? (Take π = 3.14)