Question

18. A circular tank of diameter 2 m is dug and the
earth removed is spread uniformly all around
the tank to form an embankment 2 m in width
and 1.6 m in height. Find the depth of the
circular tank.​

Answer 1

Step-by-step explanation:

Let the depth of the tank be h.

Given, diameter of tank =2m

radius of tank =1m

Volume of cylindrical tank =πr

2

h=π(1)

2

×h

=πh⟶(1)

Volume of embankment = Volume of hollow cylindrical having height 1.6m

=π(R

2

−r

2

)×H

=π((1+2)

2

−(1)

2

)×1.6

=π(9−1)×1.6

=12.8π⟶(2)

Now, Volume of tank = Volume of embankment

πh=12.8π

h=12.8m

∴ Depth of tank =12.8m