By definition, the volume of a cylinder is given by:
[tex] V = \pi r ^ 2h [/tex]
Where,
r: cylinder radius
h: cylinder height
Therefore, the total capacity of the container is:
[tex] V = \pi (6) ^ 2 (18) [/tex]
Rewriting we have:
[tex] V = 648 \pi [/tex]
Then, the amount of total dust is given by:
[tex] V '= \frac{4}{5} V [/tex]
Where,
V: volume of the container
Substituting values:
[tex] V '= \frac{4}{5} (648 \pi) [/tex]
Rewriting:
[tex] V '= 518.4 \pi [/tex]
Answer:
The total capacity of the container in terms of π is:
[tex] V = 648 \pi [/tex]
The volume of the powder in terms of π is:
[tex] V '= 518.4 \pi [/tex]
