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3 years ago

A section of guttering can hold up to 20 litres of rainwater. The diameter is 11cm. Work out the length in metres.

Mathematics

1 answer:

m_a_m_a [10]3 years ago

3 0

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:

$V = \pi r^2h$

where h = length of the guttering

Therefore:

$0.02 = \pi * 0.055^2 * h\\\\0.02 = 0.009503h\\\\h = 0.02 / 0.009503\\\\h = 2.10 m$

The length of the section of guttering is 2.1 m long.

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Step-by-step explanation:

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allochka39001 [22]

Answer:

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Step-by-step explanation:

Part 1) we have

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see the attached figure N 1

Part 2) we have

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Solve by graphing

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see the attached figure N 2

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Solve by graphing

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see the attached figure N 3

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see the attached figure N 4

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