圆锥母线长:
L=√(2S/α)
=√[2×3π/(2π/3)]
=3;
圆锥底面半径:
R=(Lα)/2π
=(3×2π/3)/2π
=1;
圆锥的高:
h=√(L²-R²)
=√(9-1)
=2√2.
圆锥表面积:
3π+πR²=4π.
圆锥体积:
V=1/3·πR²·h
=1/3·π·1²·2√2
=(2√2/3)π.
圆锥母线长:
L=√(2S/α)
=√[2×3π/(2π/3)]
=3;
圆锥底面半径:
R=(Lα)/2π
=(3×2π/3)/2π
=1;
圆锥的高:
h=√(L²-R²)
=√(9-1)
=2√2.
圆锥表面积:
3π+πR²=4π.
圆锥体积:
V=1/3·πR²·h
=1/3·π·1²·2√2
=(2√2/3)π.