Problem preview

G-MG.1 Warmup M3-039-A02-V02

Use geometric shapes, measurements, and properties to describe real-world objects.

Choose a composite solid under a stated fidelity criterion

Problem

Approximate the total enclosed capacity of a grain silo with straight circular walls and a hemispherical dome. Use the diagram to state the component solids, shared measurement, join boundary, and omitted detail.

Answer choices

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Preview only

Cylinder + full sphere; add both full volumes, including sphere volume below the roof boundary.

Cylinder only; use its radius and height, omitting the dome's enclosed volume.

Cylinder + hemisphere; use the shared radius and cylinder height, add at the roof boundary, and omit wall thickness.

Cylinder + cone; replace the hemispherical dome with a straight conical roof.

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Curriculum context

Course: Math III
Standard: G-MG.1
Category: Geometry
Domain: Modeling with Geometry
Objective: Use geometric shapes, measurements, and properties to describe real-world objects.
Problem type: Choose a composite solid under a stated fidelity criterion