The volume of a cylindrical canister is given by the formula V=nr^2h Part1. Write a function f(V) to express the radius of the canister as a function of the volume. Part 2. Suppose a certain type of canister must have a height of 32 centimeters (cm), so the quantity nh is about 100 cm. Write an updated version of the function f(V), using 100 for nh, to determine the radius of the canister that would result in certain volumes. Complete the table to find the values of f(V) for V = 25; 100; 625; 900; 2,500; and 10,000. Part 3. Plot the points from your table on the grid and sketch the graph. Part 4. If the graph were rotated 90° counterclockwise about the origin, which function would the result resemble? Explain your answers, including relating the two functions

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: