Question

数学题 跪求答案

圆锥体的高和底面半径都等于一个正方体的棱长,已知正方体的体积是45立方厘米,求圆锥的体积

Answer 1

∵圆锥体的高和底面半径都等于正方体的棱长
圆锥的体积= 3.14*(底面半径)*(底面半径)*圆锥体的高*1/3
正方体的体积=(正方体的棱长)(正方体的棱长)(正方体的棱长)=45
∴(底面半径)*(底面半径)*圆锥体的高=(正方体的棱长)(正方体的棱长)(正方体的棱长)=45
圆锥的体积=3.14*45*1/3=47.1

Answer 2

h=r=a= 3√45 厘米

V= πr＾2*h/3 = πa＾3/3 = 45π/3 = 15π 立方厘米