已知一个圆锥的高为6cm,母线长为10cm.求圆锥底面半径,求该圆锥的体积

设圆锥高h,母线长l,底面半径a,内切球半径r,则有
h = 6, l = 10
a = sqrt(l^2-h^2) = 8
可得 x^2+r^2 = y^2
故 2^2+r^2 = (6-r)^2
=>r = 8/3
V内= 4/3*pi*r^3 = 4/3*8^3/3^3*pi = 2048/81*pi