A compass needle, free to turn in a vertical plane orients itself with its axis vertical at a certain place on the earth. Find out the values of angle of dip at the place.

A compass needle, free to turn in a vertical plane orients itself with its axis vertical at a certain place on the earth. Find out the values of horizontal component of earth.s magnetic field and

A cone of radius 10 cm is cut into two parts by a plane through the mid-point of its vertical axis parallel to the base . Find the ratio of the volumes of the smaller cone and frustum of the cone.

A magnetic needle free to rotate in a vertical plane parallel to the magnetic meridian has its north up pointing down at 22^@ with the horizontal. The horizontal component of the earth's magnetic field at the place is known to be 0.35 G. Determine the magnitude of the earth's magnetic field at the place.

The earth’s magnetic field at a certain place has a horizontal component of 0.3 G and total strength 0.5 G. Find angle of dip in tan^-1

A water tank has the shape of an inverted right circular cone with its axis vertical and vertex lowermost. Its semi-vertical angle is tan^(-1)(0.5) . Water is poured into it at a constant rate of 5 cubic metre per hour. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 4 m.