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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.2 Maximum and Minimum Problems, #47 · Calculus · Optimization

How large a cylinder fits in a cone that has base radius…

How large a cylinder fits in a cone that has base radius $R$ and height $H$ ? For the cylinder, choose $r$ and $h$ on the sloping face $r / R + h / H = 1$ to maximize the volume $V = π r^{2} h$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.2 Maximum and Minimum Problems, #47

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