Math Problem Statement
The base of a solid [S] is the region bounded by the [x]axis, the [y]axis, and the line through the points [(0,a)] and [(b,0)].
[y][x][(0,a)][(b,0)]
Crosssections perpendicular to the [y]axis are equilateral triangles.
Determine the exact volume of solid [S].
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Integration
Equilateral Triangles
Formulas
Equation of a line
Area of an equilateral triangle
Integral of a squared function
Theorems

Suitable Grade Level
Advanced High School
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