Explain why, when finding the volume of a solid whose base lies under the graph of a…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Explain why, when finding the volume of a solid whose base lies under the graph of a non-negative function

y=f(x)

[a,b]

and whose cross-sections perpendicular to the

x

-axis are equilateral triangles, the integrand must include the factor

f(x)^{2}