The rate at which the height of the water in this cylindrical tank is increasing is 26.18 m/mn.
<h3>How to calculate the volume of a cylinder?</h3>
Mathematically, the volume of a cylindrical tank can be calculated by using this formula:
V = πr²h
Where:
Differentiating with respect to h, we have:
dV/dt = πr²(dh/dt)
3 = 3.142 × 5² × dh/dt
3 = 78.55dh/dt
dh/dt = 78.55/3
dh/dt = 26.18 m/mn.
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The graph is not found here, but a residual plot shows that the line of best fit is appropriate for data when points are well distributed on the x-axis.
<h3>What is a residual plot?</h3>
A residual plot is a diagram showing residual values on the Y-axis and an independent variable on the X-axis.
This type of plot (residual plot) is used to see the matches between observed and fitted response values.
In conclusion, the graph is not found here, but a residual plot shows that the line of best fit is appropriate for data when points are well distributed on the x-axis.
Learn more on residual plots here:
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Answer:
because it relies on the natural instincts of fish