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M3-037-A03-V02
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G-GMD.4
Warmup
M3-037-A03-V02
Identify cross-sections of 3D objects and solids generated by rotating 2D objects.
Classify a fully specified cylinder cross-section
Problem
A finite right circular cylinder has radius \(R\) and height \(H\). A plane perpendicular to the bases contains the cylinder axis. Use the diagram to state the plane orientation, surfaces met, cross-section shape, width, and height.
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A
The plane is perpendicular to the bases through the axis, meets both bases and the curved lateral surface, and forms a rectangle of width 2R and height H.
B
The plane is perpendicular to the bases through the axis, meets both bases and the curved lateral surface, and forms a noncircular ellipse with axes 2R and H.
C
The plane is perpendicular to the bases through the axis, meets only the curved lateral surface, and forms a circle of radius R.
D
The plane is perpendicular to the bases through the axis, meets both bases and the curved lateral surface, and forms a rectangle of width R and height H.
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Curriculum context
Standard G-GMD.4
Category Geometry
Domain Geometric Measurement and Dimension
Objective Identify cross-sections of 3D objects and solids generated by rotating 2D objects.
Problem type Classify a fully specified cylinder cross-section
