The curve y=4−xy=\sqrt{4-x}y=4−x meets the coordinate axes at A A\,A and BBB. The finite region enclosed by the curve and the coordinate axes 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.