A circular grass field of diameter 42 m is surrounded by a path of width 3.5 m. What will be the cost of graveling the path at the rate ₹ 4 square meter?

Two equal circles intersect such that each pass through the center of the other. If the length of the common chord of the circle is 10√3 cm, then what is the diameter of the circle?

△ABC ∼ △DEF. If the areas of △ABC and △DEF are 100 cm² and 81 cm², respectively and the altitude of △DEF is 6.3 cm, then the corresponding altitude of △ABC is:

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

The volume of a cuboid is 2 times the volume of a cube. If the dimensions of the side are 9 cm by 8 cm and 6 cm, then the total surface area of the cube is

A prism with a right triangular base is 25 cm high. If the shorter sides of the triangle are in the ratio of 1 : 2 and the volume of the prism is 100 cm³ , what is the length of the longest side of the triangle?

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:

The diagonal of a square is $${4\sqrt { 2}\ }$$ cm. The diagonal of another square whose area is double that of the first square is :