By definition, the volume of a cylinder is given by:
Where,
r: cylinder radius
h: cylinder height
Therefore, the total capacity of the container is:
Rewriting we have:
Then, the amount of total dust is given by:

Where,
V: volume of the container
Substituting values:

Rewriting:
Answer:
The total capacity of the container in terms of π is:
The volume of the powder in terms of π is:

Answer:
95 degrees
Step-by-step explanation:
x and 95 are vertical angles, so they are the same measure
Answer:
Combine like terms
Step-by-step explanation:
-2x+4x=2x
6+5=11
So the answer is 2x+11
Answer:
f(g(3)) = 3
Step-by-step explanation:
We are told to solve for f(g(3)). This is also saying f of g of 3.
To find f(g(3)), we need to plug 3 in for x in g(x), since it says g(3).
g(x) = 3(3) - 4
Solve.
= 9 - 4
g(x) = 5
Now, we plug that into f(x), because g(x) was placed inside f and replaces the x variable of f(x).
f(5) = 2(5) - 7
Solve.
= 10 - 7
f(5) = 3.
f(g(3)) = 3
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