Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries the full burden of behavioral disclosure. It does not state whether the result is lateral only or lateral plus base, which units the inputs/output use, or how the result is returned — significant gaps for a computation tool.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Is the description appropriately sized, front-loaded, and free of redundancy?

It is a single short, front-loaded sentence-fragment with no padding, which is good. Against that, the 'Cone Surface:' label duplicates the tool name rather than earning its place, so the content is minimal rather than efficient.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With no annotations, no output schema, and no parameter-enum constraints, the description should say more — at minimum which surface area variant is computed and the expected numeric format. As written, an agent cannot be confident about what it will get back.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100% (both height and radius are documented as 'Height to process' / 'Radius to process'), so the baseline is 3. The description adds no unit or format semantics beyond the schema, though the schema itself is sparse regarding units.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Does the description clearly state what the tool does and how it differs from similar tools?

The description names the computed quantity (surface area) and the shape (cone), so an agent can distinguish it from x402-cone-volume at a coarse level. However, 'Cone Surface: Surface area of cone' largely restates the tool name and adds no scope, formula, or exclusion detail beyond it.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Does the description explain when to use this tool, when not to, or what alternatives exist?

There is no guidance on when to use this rather than x402-cone-volume, x402-cone-frustum-volume, or x402-cylinder-surface. No preconditions, units, or context are given; the agent must infer everything from the name.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.