A well with inner radius 4 m is dug up and 14 m deep Earth taken out of it has been evenly all aroun...........

Quantitative Aptitude ( CCS) Mensuration 3D

A well with inner radius 4 m is dug up and 14 m deep. Earth taken out of it has been evenly all around a width of 3 m it to form an embankment. Find the height of the embankment?

6.78 m

7.36 m

6.34 m

2.35 m

छोटे Courses बड़े Results

Master Mensuration 3D

Prepare through Micro-courses

Try Now

Explanation:

Given,
Inner radius of the well =4 m
Depth of the well = 14 m
Volume of the cylinder = ∏×r²×h
= ∏×4²×14 …………. (i)
According to the question,
The earth taken out from the well is evenly spread all around it to form an embankment
Width of the embankment = 3 m
Outer radii of the well = 3 + 4 m = 7 m
Volume of the hollow well = ∏×(R²−r²)×h
= ∏×(7²−4²)×h …………………. (ii)
Comparing both equations we get
H=6.78 m
The height of the well so formed is 6.78 m.