Question

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)

Answer 1

Answer: 4.6 cm

Explanation:

Given

Volume of water
`V=1\ L\ \text{or}\ 1000\ cm^3`

The height of the water is
`h=15\ cm`

The volume of the cylinder is
`\pi r^2h`

Insert the values

`\Rightarrow 1000=\pi (r^2)15\\\\\Rightarrow r^2=(1000)/(3.142* 15)\\\\\Rightarrow r^2=(1000)/(47.13)\\\\\Rightarrow r^2=21.217\\\Rightarrow r=4.6\ cm`