CAPE Pure Mathematics Unit 1 · May/June 2014 · Paper 1 · Question Q41

An expression for obtaining the volume generated by rotating the shaded region through 360^\circ about the x-axis is

1. (A)\pi \int_0^2 (4 - y^2)\, dx
2. (B)\pi \int_0^2 (4 - x^2)\, dx
3. (C)\pi \int_0^2 (4 + y^2)\, dx
4. (D)\pi \int_0^2 (4 + x^2)\, dx

This question uses a figure or table from the paper — you'll see it when you practise.