Problem preview
G-GMD.1 Core M2-037-R05-V02

Explain circumference, area, and volume formulas using informal arguments such as dissection, Cavalieri, and limits.

Build prism and cylinder volume from congruent layers

Problem

A cylinder has radius \(3~m\) and perpendicular height \(8~m\). Calculate the area of every base-parallel circular slice, then accumulate the congruent layers with \(V~=~Bh\) and report the exact volume.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-GMD.1
Category
Geometry
Domain
Geometric Measurement and Dimension
Objective
Explain circumference, area, and volume formulas using informal arguments such as dissection, Cavalieri, and limits.
Problem type
Build prism and cylinder volume from congruent layers