英语翻译Consider a container that is stored within thewall.The container is formed as a sphere surmounted by a cone (like an icecream cone),the base of which is equal to the radius of the sphere.If theradius of the sphere is restricted to exactly

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英语翻译Consider a container that is stored within thewall.The container is formed as a sphere surmounted by a cone (like an icecream cone),the base of which is equal to the radius of the sphere.If theradius of the sphere is restricted to exactly

英语翻译Consider a container that is stored within thewall.The container is formed as a sphere surmounted by a cone (like an icecream cone),the base of which is equal to the radius of the sphere.If theradius of the sphere is restricted to exactly
英语翻译
Consider a container that is stored within thewall.The container is formed as a sphere surmounted by a cone (like an icecream cone),the base of which is equal to the radius of the sphere.If theradius of the sphere is restricted to exactly 6ft and a surface area of 450 ft2is all that is allowed in the design(seethe following figure),find the dimensions and such that thevolume of the container is a maximum.

英语翻译Consider a container that is stored within thewall.The container is formed as a sphere surmounted by a cone (like an icecream cone),the base of which is equal to the radius of the sphere.If theradius of the sphere is restricted to exactly
大致意思是:
设想一个容器置于井中,容器形状由球形与圆锥形构成,圆锥底的半径为球形半径.如果球体半径为6ft,表面积(谁的?)为450ft2,为设计需求(如下图),试确定各个尺寸,使得容器容积为最大.
看起来该物体由一个半球和一个圆锥(不完整?无锥顶?)组成,给定表面积,求最大容积的圆锥相关尺寸参数.但没有看到问题的附图,只能猜测.半球部分所有参数都是确定的.只有圆锥部分可能有变化(即圆锥为没有锥顶的一部分圆锥).如此变成一个锥高与锥上部半径相关的函数,求其极值的问题.是否如此,看到图应该比较容易判断.

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