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 :
Answer & explanation
Correct answer: option 2
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