A well with 10 m inside diameter is dug 14 m deep. Earth taken out of it has been evenly spread all round it to a width of 5 m form an embankment, then height if the embankment will be :

4.66  m

Radius = 10/2 = 5 m

Volume = πr²h

= \(\frac{22}{7}\) × 5 × 5 ×14

= 1100

It is taken out and spread width of 5 m ,

R2 = (5 + 5 = 10 m )

V =  \(\frac{22}{7}\) × ( R² - r²)h

1100 =  \(\frac{22}{7}\) × ( 10² - 5²) h

1100 = \(\frac{22}{7}\) × ( ( 10² - 5²) h 

350 =   ( 75) h

h = \(\frac{14}{3}\) = 4.66 m

The correct answer is option (2) : 4.66 m