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)

Two identical circles intersect each other such that each passes through the centre of the other. Length of common chord is 16√3 cm. What is the radius of each circle?

A metallic solid spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 2 cm and 1.5 cm. What is the surface area (in cm²) of the third ball?

What is the total surface area of a cylinder having radius of base as 7 cm and height as 5 cm?

If the areas of two isosceles triangles are in the ratio of X² : Y², then the ratio of their corresponding heights is:

If the radius of a circle is increased by 15% its area increases by _____.

Radius of a circle is 5 cm. Length of chord AB in this circle is 6 cm. What is the distance of this chord from the centre of the circle?