Rainfall is meastured in millimetres. One millimetre of rainfal je the amount of rain required to cover a flat surface to a depth of 1 mn IL is hard to measure small amounts of rainfall so Chnrlie makes. rain gauge by gluing pieces of clear plastic together in the shane triangular prism. The back, which is fixed to a post, is vertical and measures 10 cm by 20 cm. Each side is a vertical right-angled trianele The open top is a horizontal square. 10 ст 10 cm a How many millimetres of rainfall would it take to completely fill an empty rain gauge? b Starting with an empty gauge, what will be the height of water in the gauge after 4 mm of rain has fallen? c Charlie marks a rainfall scale on the vertical edge of his gauge. At what heights would the marks be for 20 mm, 40 mm, 60 mm, 80 mm, and 100 mm of rain? Give answers in centimetres rounded to one decimal place. d One day it rained consistently all afternoon. At 3 pm, Charlie noticed that the water level in the gauge was at the 20 mm mark. At 4 pm, the water level was exactly halfway between the 20 mm and 40 mm marks. To the nearest millimetre, how much rain had fallen in that hour? 20 сm

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Rainfall is measured in millimetres. One millimet.re of rainfal je the
amount of rain required to cover a flat. surface to a depth of 1 mm.
It is hard to measure small amounts of rainfall so Charlie makes.
rain gauge by gluing pieces of clear plastic together in the shape of
triangular prism. The back, which is fixed to a post, is vertical And
measures 10 cm by 20 cm. Each side is a vertical right-angled trianele
The open top is a horizontal square.
10 cm
10 cm
a How many millimetres of rainfall would it take to completely fill an
empty rain gauge?
b Starting with an empty gauge, what will be the height of water in the
gauge after 4 mm of rain has fallen?
c Charlie marks a rainfall scale on the vertical edge of his gauge. At
what heights would the marks be for 20 mm, 40 mm, 60 mm, 80 mm,
and 100 mm of rain? Give answers in centimetres rounded to one
decimal place.
d One day it rained consistently all afternoon. At 3 pm, Charlie noticed
that the water level in the gauge was at the 20 mm mark. At 4 pm,
the water level was exactly halfway between the 20 mm and 40 mm
marks. To the nearest millimetre, how much rain had fallen in that
hour?
20 cm
Transcribed Image Text:Rainfall is measured in millimetres. One millimet.re of rainfal je the amount of rain required to cover a flat. surface to a depth of 1 mm. It is hard to measure small amounts of rainfall so Charlie makes. rain gauge by gluing pieces of clear plastic together in the shape of triangular prism. The back, which is fixed to a post, is vertical And measures 10 cm by 20 cm. Each side is a vertical right-angled trianele The open top is a horizontal square. 10 cm 10 cm a How many millimetres of rainfall would it take to completely fill an empty rain gauge? b Starting with an empty gauge, what will be the height of water in the gauge after 4 mm of rain has fallen? c Charlie marks a rainfall scale on the vertical edge of his gauge. At what heights would the marks be for 20 mm, 40 mm, 60 mm, 80 mm, and 100 mm of rain? Give answers in centimetres rounded to one decimal place. d One day it rained consistently all afternoon. At 3 pm, Charlie noticed that the water level in the gauge was at the 20 mm mark. At 4 pm, the water level was exactly halfway between the 20 mm and 40 mm marks. To the nearest millimetre, how much rain had fallen in that hour? 20 cm
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