题目内容
甲、乙两实心球,质量比为3:2,密度比为1:3,则其体积比为______.
∵ρ=
,
∴v=
,
∴V甲=
,V乙=
,
∵
=
,
=
,
∴V甲:V乙=
:
=
×
=
×
=
×
=9:2.
故答案为:9:2.
| m |
| V |
∴v=
| m |
| ρ |
∴V甲=
| m甲 |
| ρ甲 |
| m乙 |
| ρ乙 |
∵
| ρ甲 |
| ρ乙 |
| 1 |
| 3 |
| m甲 |
| m乙 |
| 3 |
| 2 |
∴V甲:V乙=
| m甲 |
| ρ甲 |
| m乙 |
| ρ乙 |
| m甲 |
| ρ甲 |
| ρ乙 |
| m乙 |
| m甲 |
| m乙 |
| ρ乙 |
| ρ甲 |
| 3 |
| 2 |
| 3 |
| 1 |
故答案为:9:2.
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