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 cylinder with \(r~=~3~m\) and \(h~=~10~m\). Show the formula substitution, exact volume in terms of \(\pi~\), and volume to \(\text{two}~\text{decimal}~\text{places}\) with cubic units.
Think of cylinder volume as circular base area extended through the perpendicular height. That viewpoint explains why the radius is squared before multiplying by height and why three length factors produce cubic units. Preserve pi while simplifying the exact form, then use its full calculator value and round only the final decimal to the requested place.
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