19. During summer time, due to draught in a village a contractor was given a work of
digging a well of diameter 4m and 21m deep. He was also being told to spread
evenly the earth taken out around the well to form an embankment in the shape
of a circular ring of width with 3m.
21m
1.
Find the volume of earth taken out?
a. 251 m²
b. 264 m
c. 340 m
d. 300 m
Find the surface area of the embankment?
b. 55 m2
a. 66 m2
d. 44 m2
c. 77 m2
Find the amount paid to the contractor for digging each 1m is 75.
iv.
a. * 19,745 b.18,900 c. 17,600 d. 19,800
If the earth that is laid as embankment is to be filled in 11 cylindrical pots
then how much mud will be there in each pot?
b. 21 pots
a. 5 pots
d. 42 pots
c. 24 pots
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) 251 cu.m b)264cu.m c) 340 cu.md) 300 cu.m
surface area of the embankment
a) 55 sq m b) 66 sq m c) 44 sq m d) 77 sqm
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
Radius of outer ring = 2 + 3 = 5 m
surface area of the embankment = π(5² - 2²)
= 21π
= 21 ( 22/7)
= 3(22)
= 66 m²
Amount paid to the contractor for digging = 75 x 264
= Rs 19800
earth laid as embankment is filled in 11 cylindrical pots
264/ 11 = 24 pots
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