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5 votes
Two similar bottles are shown.

The smaller bottle can hold 500 ml of water.
How much water can the larger bottle hold?
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3
Answ ml
21 cm
11
15 cm

Two similar bottles are shown. The smaller bottle can hold 500 ml of water. How much-example-1
User Singhak
by
7.6k points

1 Answer

5 votes

Answer:

1372 mL

Explanation:

You want the number of mL of water a bottle of height 21 cm can hold if it is similar to a 500 mL bottle of height 15 cm.

Volume ratio

The ratio of volumes of similar figures is the cube of the ratio of their linear dimensions. The volume ratio will be ...

larger : smaller = (21 cm : 15 cm)³ = (7 : 5)³ = 2.744

The volume of the larger bottle is ...

2.744 · 500 mL = 1372 mL

The larger bottle can hold 1372 mL of water.

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Two similar bottles are shown. The smaller bottle can hold 500 ml of water. How much-example-1
User Mrswadge
by
7.5k points