Concreted

The tank of a biological treatment plant has the shape of a cylinder with a base diameter of 2.5m. It is usually filled to four-fifths of its volume. What is the volume of the treatment plant if its height is 2.8m? The treatment plant container is placed in a concrete pit. The bottom of the pit is square and the treatment plant must touch the walls of the pit. Calculate the width of the bottom of the pit for the treatment plant.

Correct answer:

V =  10.9956 m³
a =  2.5 m

Step-by-step explanation:

$$\begin{gathered} D=2.5 \\ r=D/2=2.5/2=\frac{5}{4}=1.25 \\ V=4/5\cdot 2.8\pi \cdot r^2=4/5\cdot 2.8\cdot 3.1416\cdot 1.25^2=10.9956{\text{m}}^3 \end{gathered}$$

$a=D=2.5=2.5\text{m}$

Try another example