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 :

A hemispherical tank full of water is emptied by a pipe at the rate of 7.7 litres per second. How much time (in hours) will it take to empty $$2\over 3$$ part of the tank, if the internal radius of the tank is 10.5 m?

The circumference of the base of a right circular cone is 44 cm and its height is 24 cm. The curved surface area (in cm²) of the cone is: (Taken π=22/7)

A spherical metallic shell with 6 cm external radius weighs 6688 g. What is the thickness of the shell if the density of metal is 10.5 g per cm3? (Take л = 22/7)

The base of a triangle is 16 cm and its area is $${144cm^2}$$. Find its corresponding height, with respect to the given base.

In a triangle ABC, D is a point on BC such that $${AB\over AC}={BD\over DC}.$$ If ∠B = 68° and ∠c = 52°, then measure of ∠BAD is equal to:

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?

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