CAPE Pure Mathematics Unit 1 · May/June 2009 · Paper 1 · Question Q35
The portion of the curve y = 2x between x = a and x = b is rotated 360^\circ (2\pi radians) about the x-axis. The volume, v, of the solid generated is BEST represented as
- (A)
v = 4\int_a^b \pi x^2\,dy - (B)
v = 4\int_a^b \pi x^2\,dx - (C)
v = \frac{1}{4}\int_a^b \pi y^2\,dy - (D)
v = \frac{1}{4}\int_a^b \pi y^2\,dx
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