$[CO$#$3,8]A$ falling head permeability test is carried out, as indicated in the figure below.

The sample is cylindrical $($diameter is $10cm)$ with a length of $20cm$ and consists of a

single soil. The test is run with the initial heads shown in the figure below. The area of the

upper burette is $1c{m}^2.$ Suppose the soil has a permeability of $2{10}^{-4}c\frac{m}{s}.$

a$)$ Based on the soil permeability, comment on what type of soil you would expect this to

be$.$ Justify your answer.

b$)$ How long would it take for the head drop in the burette $(dh=h_{t1}-h_{t2})$ to be $dh=0\mathrm{.}25$

meters?

c$)$ Suppose you left the test running for an hour. What would the head drop $($dh$)$ be$?$