Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+16πr. What is the domain of A(r)? In other words, for which values of r is A(r) defined? Part b: Find the inverse function to A(r). Your answer should look like r="some expression involving A". Part c: If the surface area is 100 square inches, then what is the radius r? In other words, evaluate r(100). Round your answer to 2 decimal places.
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:
Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+16πr. What is the domain of A(r)? In other words, for which values of r is A(r) defined?
Part b: Find the inverse function to A(r). Your answer should look like r="some expression involving A".
Part c: If the surface area is 100 square inches, then what is the radius r? In other words, evaluate r(100). Round your answer to 2 decimal places.
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