Science:Math Exam Resources/Courses/MATH101/April 2018/Question 07 (i)/Statement
Let be the portion of the circle , with distances measured in metres, that lies to the right of the -axis and is below the horizontal line denoting the -axis (see the plot below). A reservoir dug into the ground has the shape that results from the region being rotated around the -axis. A cross-section of the reservoir is shown below.
(i) Calculate the volume of the reservoir by slicing horizontally. Simplify your answer completely.