CAPE Pure Mathematics Unit 1 · May/June 2012 · Paper 1 · Question Q35

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.