Frustum of a cone The shape of the first spacecraft in the Apollo program was a frustum

Chapter 2, Problem 2.8.83

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Frustum of a cone The shape of the first spacecraft in the Apollo program was a frustum of a right circular conea solid formed by truncating a cone by a plane parallel to its base. For the frustum shown in the figure, the radii a and b have already been determined. (a) Use similar triangles to express y as a function of h.(b) Derive a formula for the volume of the frustum as a function of h.(c) If ft and ft, for what value of h is the volume of the frustum 600 ?

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