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1982年高考理科的数学试题第四题“已知圆锥体的底面半径为R,高为H,求内接于这个圆锥体并且体积最大的圆柱体的高h(如图)。”
In the 1982 mathematics question in the 1982 college entrance examination science, “the radius of the bottom surface of the known cone is R, and the height is H. Find the height h of the cylinder that is inscribed in this cone and has the largest volume (see figure).”