圆柱与圆锥底面直径比是5:6,圆锥的高是圆柱的2/3,则圆锥与圆柱的体积比是
问题描述:
圆柱与圆锥底面直径比是5:6,圆锥的高是圆柱的2/3,则圆锥与圆柱的体积比是
答
R1:R2 = 6:5
H1:H2 =2:3
V1=1/3πR1^2H1
V2=πR2^2H2
V1:V2 =1/3πR1^2H1 :πR2^2H2 = 1/3*(R1/R2)^2 * (H1/H2) = 1/3*(6/5)^2*2/3 = 8/25