Volumes of Revolution (AQA A-Level Further Maths): Flashcards

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

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

Square the $y$

Square the $x$

360° (full turn)

Half the volume

One quarter the volume

$x = f(y)$ form

Circle (circular disc)

$V = \frac{1}{3}\pi r^2 h$