A designer of decorative art plans to market solid gold
Chapter 6, Problem 128(choose chapter or problem)
A designer of decorative art plans to market solid gold spheres encased in clear crystal cones. Each sphere is of fixed radius R and will be enclosed in a cone of height h and radius r. See the illustration. Many cones can be used to enclose the sphere, each having a different slant angle u. The volume V of the cone can be expressed as a function of the slant angle u of the cone as V1u2 = 1 3 pR3 11 + sec u23 1tan u22 , 0 6 u 6 90 What volume V is required to enclose a sphere of radius 2 centimeters in a cone whose slant angle u is 30? 45? 60? O
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