Answer:
2.1 m
Step-by-step explanation:
The gutter is in the shape of a cylinder.
Its volume is 20 liters and its diameter is 11 cm (0.11 m).
Its radius is half of its diameter => r = 0.055 m.
The volume in cubic metres:
1 litre = 0.001 cubic metres
20 litres = 20 * 0.001 = 0.02 cubic metres
The volume of a section of guttering is given as:
[tex]V = \pi r^2h[/tex]
where h = length of the guttering
Therefore:
[tex]0.02 = \pi * 0.055^2 * h\\\\0.02 = 0.009503h\\\\h = 0.02 / 0.009503\\\\h = 2.10 m[/tex]
The length of the section of guttering is 2.1 m long.
