Volume of a Solid

Using the area formulas to calculate the volume of a solid with a known cross section and relating it to definite integrals.

Mapped to AP College Board # CHA-5, CHA-5.B, CHA-5.B.1, CHA-5.B.2, CHA-5.B.3

Definite integrals allow us to solve problems involving the accumulation of change in area or volume over an interval. Calculate volumes of solids with known cross sections using definite integrals. Volumes of solids with square and rectangular cross sections can be found using definite integrals and the area formulas for these shapes. Volumes of solids with triangular cross sections can be found using definite integrals and the area formulas for these shapes. Volumes of solids with semicircular and other geometrically defined cross sections can be found using definite integrals and the area formulas for these shapes.