Question

. The two bottles are similar in shape. The larger bottle holds 100 m/ of perfume. Calculate how many millilitres of perfume the smaller bottle holds.The length of the larger bottle is 10cm.the length of the smaller bottle is 5cm
​

Answer 1

The smaller bottle holds 12.5 ml of perfume.

I solved it and came with this result.

Answer 2

Answer:

The smaller bottle holds 12.5 ml of perfume.

====================

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:

• $k = 5/10 = 1/2$

We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:

• $V_{small}/V_{large} = k^3$

Substitute the known values and find the volume of small bottle:

• $V_{small}/100= (1/2)^3$
• $V_{small}/100= 1/8$
• $V_{small}= 1/8*100=12.5$

The smaller bottle holds 12.5 ml of perfume.