the rate of the flow of water through a pipe is 1/3 varies directly with the square of the radius of the pipe which is 30. what is the rate of the flow of water through a pipe if the radius of the pipe is 12?
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the rate of the flow of water through a pipe is 1/3 varies directly with the square of the radius of the pipe which is 30. what is the rate of the flow of water through a pipe if the radius of the pipe is 12?
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Answer:
So the rate of flow when the radius is 12 is 8/45.
Step-by-step explanation:
We can use the formula: rate of flow = k * (radius^2), where k is a constant of proportionality.
Given that the rate of flow is 1/3 when the radius is 30, we can write:
1/3 = k * (30^2)
Solving for k, we get:
k = 1/3 / (30^2)
Now, we can find the rate of flow when the radius is 12:
rate of flow = k * (12^2) = 1/3 / (30^2) * (12^2) = 144 / 900 = 8/45