FA-5935 / Solid geometry / Member archive

Conical frustum volume divided by pi · case 05

Subtracting same-height cones omits the mixed-radius term.

Member previewVariant 5 · 3 implementations · 4 checks per implementation

Case contract

Nonnegative integer dimensions; exact products and ordinary Python real division. Quantities named divided by pi or pi-squared deliberately omit that factor from the returned result. Conical frustum volume divided by pi. Exact operational definition: h*(r*r+r*R+R*R)/3

Why this case matters

Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Solid geometry results depend on the stated convention.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
fixture 1: (1, 2, 3)	`3.0`	`7`	Failed

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