Question
A=2r2+2rh. Part a : Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write
A=2r2+2rh.
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). What is the domain and range of A(r)?
Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a function of A. This is the inverse function to A(r), i.e. r as a function of A or r(A). What is r(A) and what is the domain and range of r(A)? What is r(A)?
Part c: If the surface area is 125 square inches, then what is the rardius r? Round your answer to 2 decimal places.
The radius is ___ inches if the surface area is 125 square inches.
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