From a point ^@ P ^@ outside a circle with center ^@ O ^@, tangents ^@ PA ^@ and ^@ PB ^@ are drawn to the circle. The line segment formed by joining the points ^@ A ^@ and ^@ B ^@ intersect the line segment ^@ OP ^@ at ^@ M ^@. What is the measure of ^@ \angle AMP ^@ ?
Mongkut made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end. If the height of the cylinder is 166 cm and its radius is 73 cm. Choose the correct total surface area of the bird-bath. (Take π = 22/7)