Use geometric shapes, measurements, and properties to describe real-world objects.
Judge a geometric model under a stated purpose and tolerance
Problem
Assess a sphere model for a basketball's coarse enclosed volume and outer surface area within about \(5\%\), ignoring seams and small deformation. Use the diagram to state the suitability judgment, criterion-based reason, and omissions.
A model is reasonable only relative to a stated purpose and tolerance. Compare the object's dominant geometry with the candidate model, focusing on features that materially affect the requested measurements, then judge whether omitted details are large enough to exceed the allowed error. Finish by naming those omissions so the conclusion does not claim more fidelity than the model provides.
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