a well is dug 14m deep and it has a diameter of 10m the earth which is so dug out is spread evenly on an embankment around the well of width 5m
find the height of the embankment ( it may come in fraction)
Answers
Step-by-step explanation:
Given : A 14 m deep well with inner diameter 10 m is dug and the earth taken out is evenly spread all around the well to form an embankment of width 5 m.
To find : The height of the embankment ?
Solution :
Diameter of well = 10 m
Radius of well =
r=\frac{D}{2}=\frac{10}{2}=5 m
Depth of well h= 14 m
Volume of well is given by,
V= \pi r^2 h
V=\frac{22}{7} \times 5^2 \times 14
V= 1100\ m^3
Earth taken out of it is spread all a round to a width of 5 m to form an embankment.
Radius of embankment = 5 m + 5 m = 10 m
Let the height of embankment be h
Volume of well = Volume of embankment
V=\pi r^2 h
1100=\frac{22}{7}\times 10^2\times h
h=\frac{1100\times 7}{22\times 100}
h=3.5
Therefore, the height of the embankment is 3.5 meter.
Step-by-step explanation:
Diameter of well = 10 m
Radius of well =
r=\frac{D}{2}=\frac{10}{2}=5 m
Depth of well h= 14 m
Volume of well is given by,
V= \pi r^2 h
V=\frac{22}{7} \times 5^2 \times 14
V= 1100\ m^3
Earth taken out of it is spread all a round to a width of 5 m to form an embankment.
Radius of embankment = 5 m + 5 m = 10 m
Let the height of embankment be h
Volume of well = Volume of embankment
V=\pi r^2 h
1100=\frac{22}{7}\times 10^2\times h
h=\frac{1100\times 7}{22\times 100}
h=3.5