In a trapezium ^@ ABCD^@ , ^@O ^@ is the point of intersection of ^@AC^@ and ^@BD^@. ^@AB || CD^@ and ^@AB = 2 \times CD^@. If the area of ^@\Delta AOB = 96 \space cm^2^@, find the area of ^@\Delta COD^@.
A tangent ^@ PQ ^@ at a point ^@ P ^@ of a circle of radius ^@14 \space cm^@ meets a line through the center ^@O^@ at a point ^@Q^@ such that ^@OQ = 22 \space cm^@. What is the length of ^@PQ^@ ?
A can is in the shape of a frustum of a cone of height ^@45 \space cm^@. The diameters of its two circular ends are ^@14 \space cm^@ and ^@11 \space cm^@. Find the capacity of the can.(Use ^@ \pi = \dfrac { 22 } { 7 } ^@)
According to a meteorological report for ^@ 900 ^@ consecutive days in a year, its weather forecasts were correct ^@ 441 ^@ times.
Out of these days, one day is chosen at random.
What is the probability that the weather forecast was correct on that day?
A statue ^@ 1 \space m ^@ tall stands on the top of the pedestal. From a point on the ground, the angle of elevation of the top of the statue is ^@ 45^\circ ^@ and from the same point the angle of elevation of the top of the pedestal is ^@ 30^\circ ^@. What is the height of the pedestal?
Cambodia
