Answered

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A water bottle in the shape of a cylinder holds 1 litre of water when it's full. It's height is 15cm. Work out the radius of the water bottle (1litre=1000cm3)

Sagot :

Answer: 4.6 cm

Step-by-step explanation:

Given

Volume of water [tex]V=1\ L\ \text{or}\ 1000\ cm^3[/tex]

The height of the water is [tex]h=15\ cm[/tex]

The volume of the cylinder is [tex]\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow 1000=\pi (r^2)15\\\\\Rightarrow r^2=\dfrac{1000}{3.142\times 15}\\\\\Rightarrow r^2=\dfrac{1000}{47.13}\\\\\Rightarrow r^2=21.217\\\Rightarrow r=4.6\ cm[/tex]

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