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阅读： 如图，在空间中，与定点的距离等的点的集合叫做球面．定点叫做球心，叫做半径．球面被经过球心的平面截得的圆叫做大圆． 探究1：当我们把半径为11cm的足球看成一个球时，假设有一根无弹性的细线恰好能沿足球的大圆紧紧缠绕一，将细线的长度增加1，细线仍以圆形呈现，且圆心为足球的球心．若将细线与足球表面的间隙记为h 1 （间隙如图所示），求h 1 的长；（π取3.14，结果精确到1cm） 探究2：将探究1中的足球分别换成乒乓球和地球，其他条件都不改变．设乒乓球半径为r，细线与乒乓球表面的间隙为h 2 ；地球的半径为R，细线与地球表面的间隙为h 3 ，试比较h 2 与h 3 大小，并说明理由．
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