A function f is defined by f(x)= , where r E R, x 2 0 and ke R . The region enclosed by the graph of y = f(x), the x-axis, the y-axis and the line I = In 16 is rotated 360 about the r-axis to form a solid of revolution. la. Show that the volume of the solid formed is 15k [6 marks] 34 cubic units. Pedro wants to make a small bowl with a volume of 300 cm based on the result from part (a). Pedro's design is shown in the following diagrams. O. A y = f(x) In16 O B B The vertical height of the bowl, BO, is measured along the x-axis. The radius of the bowl's top is OA and the radius of the bowl's base is BC. All lengths are measured in cm