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Salsk061 [2.6K]
3 years ago
7

1. The cylindrical container is four-fifths full of powder. Show ALL work for the following.

Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

By definition, the volume of a cylinder is given by:

V = \pi r ^ 2h

Where,

r: cylinder radius

h: cylinder height

Therefore, the total capacity of the container is:

V = \pi (6) ^ 2 (18)

Rewriting we have:

V = 648 \pi

Then, the amount of total dust is given by:

V '= \frac{4}{5} V

Where,

V: volume of the container

Substituting values:

V '= \frac{4}{5} (648 \pi)

Rewriting:

V '= 518.4 \pi

Answer:

The total capacity of the container in terms of π is:

V = 648 \pi

The volume of the powder in terms of π is:

V '= 518.4 \pi

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