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8.8 Volumes with Cross Sections: Triangles and Semicircles

Syllabus
2020
Topic
8.8
Level
—

Learning objectives

—CHA-5.B—Calculate volumes of solids with known cross sections using definite integrals—Topic 8.8• CHA-5.B Calculate volumes of solids with known cross sections using definite integrals.• CHA-5.B.2 Volumes of solids with triangular cross sections can be found using definite integrals and the area formulas for these shapes.• CHA-5.B.3 Volumes of solids with semicircular and other geometrically defined cross sections can be found using definite integrals and the area formulas for these shapes.• Enduring understanding CHA-5: Definite integrals allow us to solve problems involving the accumulation of change in area or volume over an interval.

CHA-5.B—Calculate volumes of solids with known cross sections using definite integrals—Topic 8.8

  • CHA-5.B Calculate volumes of solids with known cross sections using definite integrals.
  • CHA-5.B.2 Volumes of solids with triangular cross sections can be found using definite integrals and the area formulas for these shapes.
  • CHA-5.B.3 Volumes of solids with semicircular and other geometrically defined cross sections can be found using definite integrals and the area formulas for these shapes.
  • Enduring understanding CHA-5: Definite integrals allow us to solve problems involving the accumulation of change in area or volume over an interval.