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 ? radians

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