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Question

Earth dug out on making a circular tank of radius 7 m is spread all round the tank uniformly to a width of 1 m to form an embankment of height 3.5 m. Calculate the depth of the tank.
  1. 14 m
  2. 1415m
  3. 2 m
  4. 1514m

A
1415m
B
14 m
C
2 m
D
1514m
Solution
Verified by Toppr

Let h1 be the height of circular tank Then
Volume of circular tank= Volume of embankment=πr2h1.....(1)
Height of embankment, h2=3.5 m
Inner radius of embankment, r1=7m
Outer radius of embankment, r2=8m
Volume of embankment=πr21h2πr22h2
=π(82×3.572×3.5)
=π(22449×3.5)=52.5π
Substituting in (1) we get
π×72×h1=52.5π
or h1=52.549=7.57×22=1514m

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