∵由题知,m甲:m乙=3:4,ρ甲:ρ乙=1:3,
∴由公式V=
| m |
| ρ |
| V甲 |
| V乙 |
| ||
|
| m甲 |
| ρ甲 |
| ρ乙 |
| m乙 |
| 3 |
| 1 |
| 3 |
| 4 |
| 9 |
| 4 |
又∵两球都浸没在液体中,
∴V排=V物,
甲乙两球排开的液体体积之比:
| V甲排 |
| V乙排 |
| 9 |
| 4 |
又∵F浮=ρgV排,浸没在同种液体中,
∴甲、乙两球所受浮力之比:
| F甲浮 |
| F乙浮 |
| ρgV甲排 |
| ρgV乙排 |
| V甲排 |
| V乙排 |
| 9 |
| 4 |
故答案为:9:4.
| m |
| ρ |
| V甲 |
| V乙 |
| ||
|
| m甲 |
| ρ甲 |
| ρ乙 |
| m乙 |
| 3 |
| 1 |
| 3 |
| 4 |
| 9 |
| 4 |
| V甲排 |
| V乙排 |
| 9 |
| 4 |
| F甲浮 |
| F乙浮 |
| ρgV甲排 |
| ρgV乙排 |
| V甲排 |
| V乙排 |
| 9 |
| 4 |