Find and interpret volume of prisms and cylinders using correct units.
Use circular base area times height
Problem
A cylinder has a radius of \(3~\text{cm}\) and a height of \(8~\text{cm}\). Find its volume in exact form.
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What this problem is really about
Treat the cylinder as identical circular layers stacked through its height. First find one layer’s area by squaring the radius and multiplying by pi, then multiply that base area by the height. Keep pi symbolic for exact form and use cubic centimeters because the calculation extends a two-dimensional area through a length.
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