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 part of the tank, if the internal radius of the tank is 10.5 m?

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

Each side of a square is 12 cm long. The perimeter of this square is equal to the perimeter of a rectangle whose length is 16 cm. What will be the area of this rectangle?

The sides of a triangle are in the ratio 3 : 4 : 5. The measure of the largest angle of the triangle is

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

The base and altitude of a right angled triangle are 12 cm and 5 cm respectively. The perpendicular distance of its hypotenuse from the opposite vertex is

The radius of a wire is decreased to one third. If volume remains the same, length will increase by :

On a rainy day, 60 cm of rain is recorded in a region. What is the volume of water collected in an open and empty rectangular water tank that measures 12 m (length) ×10 m (width) and 50 cm (depth)?