个圆柱和一个圆锥的高相等,底棉半径的比是2:3.已知圆柱的体积是24立方厘米,圆锥的体积是多少立方厘米?
1个回答

柱/r锥=2/3

圆柱的体积=底面积*高=3.14(2/3r锥)^2=3.14*(4/9)r锥^2*高=24立方厘米

r锥^2=24*9/(3.14*4*高)

圆锥的体积=1/3底面积*高=1/3*3.14*r锥^2*高=1/3*3.14*高[24*9/(3.14*4*高)]=18(立方厘米)