A Level Further Maths, Core Pure 1, Chapter 5 · exam-style questions with mark schemes and worked solutions · shadows of past-paper questions and new questions in the style of Edexcel, Edexcel iAL, AQA, OCR A and MEI · volumes of revolution about the $x$-axis, $\pi\int y^{2}\,\mathrm{d}x$, and about the $y$-axis, $\pi\int x^{2}\,\mathrm{d}y$, regions between curves and lines, adding and subtracting volumes, and modelling real objects with volumes of revolution