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Course: Integral Calculus > Unit 3

Lesson 8: Volume: triangles and semicircles cross sections
Math
Integral Calculus
Applications of integrals
Volume: triangles and semicircles cross sections
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Volumes with cross sections: triangles and semicircles

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Problem

The base of a solid S is the triangle enclosed by the line x+y=1, the x-axis, and the y-axis.
Cross-sections perpendicular to the x-axis are semi-circles.
Determine the exact volume of solid S.