The finite region between the line y=3−xy=3-xy=3−x and the xxx-axis, from x=0x=0x=0 to x=3x=3x=3, is rotated through 2π 2\pi\,2π radians about the xxx-axis.
Find the exact volume of the solid formed.
363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.