Volumes of Revolution (Edexcel A-Level Further Mathematics): Flashcards

The volume of a solid formed when an area is rotated around an axis

360°

$V = \pi \int_a^b y^2 \, dx$

$V = \pi \int_a^b x^2 \, dy$

x-limits

y-limits

Forgetting $\pi$

Keep exact (not decimal approximations)

Rearrange to $x = f(y)$

Infinitesimal