In the given figure, points ^@ M ^@ and ^@ N ^@ divide the side ^@ AB ^@ of ^@\Delta ABC^@ into three equal parts. Line segments ^@MP^@ and ^@NQ^@ are both parallel to ^@BC^@ and meet ^@AC^@ in ^@P^@ and ^@Q^@ respectively. The length of ^@AC^@ is equal to:
Draw a circle with its two chords ^@PQ^@ and ^@RS^@ such that ^@PQ^@ is not parallel to ^@RS^@. Draw the perpendicular bisector of ^@PQ^@ and ^@RS^@. At what point do they intersect each other.
A sphere and a right circular cylinder have the same radius. If the volume of the sphere is one fifth of the volume of the cylinder, what is the ratio of the height of the cylinder to its radius?