Question

7. GEOGRAPHY The discharge of a river

Answer 1

Answer:

10 m

Step-by-step explanation:

Given:

The discharge of water is equal to the product of of its width, its average depth and its speed.

Let $D$ be discharge of water, $w$ be its width, $h$ be its average depth and $v$ be its speed.

So, $D=vwh$

As per question,

$D=3198\textrm{ }m^{3},w=533\textrm{ m},v=0.6\textrm{ }m/s$

Plug in the above values and solve for $h$.

$3198=0.6\times 533\times h\\3198=319.8h\\h=\frac{3198}{319.8}=10\textrm{ m}$

Therefore, the average depth of the Mississippi river is 10 m.