Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Choose a volume formula for a described solid
Problem
A closed can is modeled as a right circular cylinder with base radius \(r\) and perpendicular height \(h\). Identify its base area, state the base-area-times-height structure, and give the volume formula with the correct radius exponent.
Formula identification begins with the solid’s structure, not with matching familiar symbols. We’ll classify the can from its congruent circular bases and lack of taper, write the area of one base, extend that area through the perpendicular height, and use the three length dimensions to distinguish volume from surface area.
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