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Two similar bottles are shown. the smaller bottle can hold 500ml. how much can the larger bottle hold. the smaller bottle is 15 cm in height and the larger bottle is 21 cm in height
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Two similar bottles are shown the smaller bottle can hold 500ml how much can the larger bottle hold the smaller bottle is 15 cm in height and the larger bottle class=

Respuesta :

meowmeowkitten64

Answer:

1372ml

Step-by-step explanation:

21/15 = 1.4 = Linear Scale Factor

1.4^3=2.744 = Area Scale Factor

500 x 2.744 = 1372ml

   Larger bottle can hold 700 ml of water.

 Two bottles given in the picture are similar.

Therefore, volume per cm height of both the bottle will be proportional.

By using the rule of proportionality,

[tex]\frac{15}{500}=\frac{21}{x}[/tex]

Here, x = Volume of the water the larger bottle can hold

By solving the equation,

15x = 500 × 21

x = [tex]\frac{10500}{15}[/tex]

x = 700 ml

  Therefore, larger bottle can hold 700 ml of water.

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