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G-MG.1 Warmup M3-039-A05-V03

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

Compute exact and two-decimal modeled volume

Problem

Use the diagram to calculate the volume of a cone with \(r~=~4\) and \(h~=~9~\text{units}\). Show the formula substitution, exact volume in terms of \(\pi~\), and volume to \(\text{two}~\text{decimal}~\text{places}\) with cubic units.

Prompt cone labeled radius 4 and vertical height 9 units; the volume formula and result are withheld. Open full size
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Four variants of this problem type
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
Compute exact and two-decimal modeled volume