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Flashcards in Volumes Of Revolution Deck (3)
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1

Parametric volumes of revolution

Square x or y depending on which axis
Multiply by dy/dt or dx/dt
Find limits in terms of y and integrate with respect to t
Multiply by pi

2

Parametric volume about the x-axis

a
π ∫ y^2 dx/dt dt
b

a, b should be limits of t

3

Parametric volume about the y-axis

a
π ∫ x^2 dy/dt dt
b

a, b should be limits of t