For a cylinder open at one end with radius r cm and height h cm, find the dimensions giving the minimum surface area, given that the volume is 12 cm^3. NOTE: Enter exact answers, or round to three decimal places. r = cm h = cm
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We need to find the dimensions (radius \(r\) and height \(h\)) of an open cylinder that minimize the surface area while maintaining a volume of 12 cm\(^3\). The cylinder is open at one end, meaning it has one circular base and a curved surface area. Show more…
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