∵侧面展开图的弧长=1×2π/3,
而此弧长=底面周长=2πr,∴r=1/3,
∴圆锥的高²=1²-﹙1/3﹚²=8／9,∴h=2√2／3,∴圆锥体积=1/3×π×r²×h＝2√2π/81