Manipal Entrance Test 2016 English Paper

Height of the well =14m
Diameter of the well =3m
So, Radius of the well =

3

2

m
Volume of the earth taken out of the well =πr2h
=

22

7

(

3

2

)214
=99‌cu‌m

Outer radius of the embankment
=R=(

3

2

+4)m=

11

2

m
Area of embankment = outer area - inner area
⇒=πR2−Πr2
=

22

7‌

[(

11

2

)2−(

3

2

)2]
=

22

7‌

[(

121

4

)−(

9

4

)]
=

22

7

×

112

4

=88m2
Height of the embankment = Volume/Area
=

99

88

Height of the embankment =1.125m