The key formulas for a cylinder include the lateral surface area, which is calculated as (2\pi rh) (where (r) is the radius and (h) is the height), and the total surface area, given by (2\pi r(h + r)). The volume of a cylinder can be found using the formula (V = \pi r^2 h). These formulas are essential for understanding the geometry and physical properties of cylinders.
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