母线长为1的圆锥的侧面展开图的圆心角等于4/3π，则该圆锥的体积为
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圆锥的侧面展开图的弧长C=1*(4/3)*π=π*4/3
圆锥的底圆半径R=C长/(2*π)=(π*4/3)/(2*π)=2/3
圆锥的高H=(1^2-(2/3)^2)^0.5
=(1-(4/9))^0.5
=(5/9)^0.5
=5^0.5/3
该圆锥的体积V=π*R^2*H/3
=π*(2/3)^2*(5^0.5/3)/3
=π*(4/9)*(5^0.5)/9
=π*4*(5^0.5)/81
圆锥的底圆半径R=C长/(2*π)=(π*4/3)/(2*π)=2/3
圆锥的高H=(1^2-(2/3)^2)^0.5
=(1-(4/9))^0.5
=(5/9)^0.5
=5^0.5/3
该圆锥的体积V=π*R^2*H/3
=π*(2/3)^2*(5^0.5/3)/3
=π*(4/9)*(5^0.5)/9
=π*4*(5^0.5)/81
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