CAPE Pure Mathematics Unit 1 · 2008 (Rest of Region) · Paper 1 · Question Q36

An expression for obtaining the volume generated by rotating the bounded, 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.