題組內容

Question 5. [Maximum mark: 9] 
A water truck tank which is 3 meters long has a uniform cross-section in the shape of a major segment. The tank is divided into two equal parts and is partially filled with water as show in the following diagram of the cross-section. The centre of the circle is O, the angle AOB is ? radians, and the angle AOF β is ? radians629d91f155432.jpg

The left part of the tank is now being filled with water at a constant rate of 0.001 m3 per second.
(b) Calculate 629d922e29a7a.jpg when β=629d924349441.jpg (note: sin629d925bcae44.jpg ≈0.5878  ).