Question

A well of diameter 3m is dug 14 m deep . The soil taken out of it is spread evenly all around it to a width of 5m to form an embankment. Find the height of the embankment.

Answer 1

Volume of soil taken out = pi*r*r*h

=22/7×3/2×3/2×14

= 99 metre cube

Volume of embankment to be formed = 99 metre cu.

pi*(R^2-r^2)*h=99

22/7*(6.5^2-1.5^2)×h=99

22/7*32*h=99

h=99*7/(32*22)

=0.984 metres.