Common Core · AP Calculus AB
CHA-5.B
AP Calculus AB, Unit 8 — Calculate volumes of solids with known cross sections using definite integrals.
A note on this mapping: The Common Core has no calculus standards; this is the AP Calculus AB learning objective.
The skill that covers it
What a student should be able to do
- Set up and evaluate a disc-method volume about the x-axis or y-axis.
- Use washers for the region between two curves, including revolution about a line y = k.
- Find the volume of a solid with square, semicircular or equilateral cross-sections on a given base.
- Read a volume integral back to the region and axis that produced it.