a well of diameter 2m is dug 14m deep. the earth taken out of it is spread evenly all around it to form an embankment of height 40cm. find the width of the embankment.
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Solution:-
Diameter of well = 2 m
So, radius of well = 1 m
Height = 14 m
Dimensions of embankment =
h = 40 cm or 0.4 m
Radius = ?
Width of embankment = R - r
Volume of earth dug out = Volume of embankment
⇒ 22/7*1*1*14 = 22/7*(R² - 1)*0.4
⇒ 44 = 8.8(R² - 1)/7
⇒ = R² - 1 = (44*7)/8.8
⇒ R² - 1 = 35
⇒ R² = 35 + 1
⇒ R² = 36
⇒ R = 6 m
Now width of embankment = 6 - 1
= 5 m
Answer.
Diameter of well = 2 m
So, radius of well = 1 m
Height = 14 m
Dimensions of embankment =
h = 40 cm or 0.4 m
Radius = ?
Width of embankment = R - r
Volume of earth dug out = Volume of embankment
⇒ 22/7*1*1*14 = 22/7*(R² - 1)*0.4
⇒ 44 = 8.8(R² - 1)/7
⇒ = R² - 1 = (44*7)/8.8
⇒ R² - 1 = 35
⇒ R² = 35 + 1
⇒ R² = 36
⇒ R = 6 m
Now width of embankment = 6 - 1
= 5 m
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