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Find the volume of a figure with known cross-sectional area, including figures of revolution, by using definite integrals.
Examples
Example: A cone with its vertex at the origin lies symmetrically along the x-axis. The base of the cone is at x=5 and the base radius is 7. Use integration to find the volume of the cone.Example: What is the volume of the solid created when the area between the curves f(x)=x and g(x)=x2 for 0≤x≤1 is revolved around the y-axis?
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Calculus
Standard: Apply integrals to solve problems.
Date Adopted or Revised: 08/20
Status: State Board Approved
Related Courses
This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
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