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Given a sphere with radius r, find the height of a pyramid of minimum volume whose base

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Given a sphere with radius r, find the height of a pyramid of minimum volume whose base is a square and whose base and triangular faces are all tangent to the sphere. What if the base of the pyramid is a regular n-gon (a polygon with equal sides and angles)? (Use the fact that the volume of a pyramid is 1/3h, where A is the area of the base.)
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h 14 and hrp rh hh 2r Let b denote onehalf the length of a side of the base The area A of the base i...View the full answer


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University Physics with Modern Physics

University Physics with Modern Physics

ISBN: 978-0321696861

13th edition

Authors: Hugh D. Young, Roger A. Freedman, A. Lewis Ford

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