17. Work of digging a well of diameter 4m and 21m deep. He was also being told
During summer time due to draught in a village a contractor was given a
embankment in the shape of circular ring of width 3m.Please help the
to spread evenly the earth taken out around the well to forman
contractor to answer the following questions.
Findthe volume of earth taken out of the well.
Find the radius of outer ring.
a) 55 sq m b) 66 sq m c) 75 sq m d) 85 sqm
Find the height of the embankment.
a)2m b) 3m c) 4m d) 5m
If the width of the embankment is 2m find the height of the
c) 5m
b)264cu.m c) 255 cu.md) 278 cu.m
a) 236 cu.m
ii)
a) 3m b) 2m
d)6m
Find the area of ring.
iv)
v
embankment.
a)7m b)5m c)8m d) 2m
Answers
Given : digging a well of diameter 4m and 21m deep
embankment in the shape of circular ring of width 3m.
To Find : volume of earth taken out of the well.
a) 236 cu.m b)264cu.m c) 255 cu.md) 278 cu.m
radius of outer ring.
a)2m b) 3m c) 4m d) 5m
area of outer ring
a) 55 sq m b) 66 sq m c) 75 sq m d) 85 sqm
height of the embankment.
a) 3m b) 2m c) 4m d) 6m
Solution:
Diameter = 4 m => radius = 2 m
volume of earth taken out of the well. = π * 2² * 21
π = 22/7
= ( 22/7)2² * 21
= 264 m³ or 84π m³
Radius of outer ring = 2 + 3 = 5 m
height of the embankment. = 84π / π(5² - 2²)
=84π / 21π
= 4 m
area of ring = 21π = 21(22/7) = 66 m²
If width of the embankment is 2m then Radius = 2 + 2 = 4 m
height of the embankment. = 84π / π(4² - 2²)
=84π /12π
= 7 m
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