In this video I go over another example on solving the volume of a shape but this time instead of rotating a curve about a line, the cross section is instead a triangular shape throughout the shape.

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Integrals and Volumes: Example 7

Integrals and Volumes Example 7.jpeg

Example:

The figure below shows a solid with a circular base of radius 1. Parallel cross-sections perpendicular to the base are equilateral triangles. Find the volume of the solid.

Solution:

Integrals and Volumes: Example 7 Triangle Cross Section

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Integrals and Volumes: Example 7