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Sagot :
Answer:
The smaller bottle holds 12.5 ml of perfume.
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Given
- Two bottles of similar shape;
- Larger bottle has volume of 100 ml;
- The length of larger bottle is 10 cm;
- The length of smaller bottle is 5 cm.
To find
- The volume of smaller bottle.
Solution
Find the scale factor, the ratio of corresponding dimensions:
- [tex]k = 5/10 = 1/2[/tex]
We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:
- [tex]V_{small}/V_{large} = k^3\\[/tex]
Substitute the known values and find the volume of small bottle:
- [tex]V_{small}/100= (1/2)^3\\[/tex]
- [tex]V_{small}/100= 1/8[/tex]
- [tex]V_{small}= 1/8*100=12.5[/tex]
The smaller bottle holds 12.5 ml of perfume.
The smaller bottle holds 12.5 ml of perfume.
I solved it and came with this result.
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