The formula for the volume of a cylinder with a height of 5 units is v(r)=(5)(pi)(r^2) where r is the radius of the cylinder. what is the domain and range of this function?

D=(-∞,∞) Range = [0, ∞)

Step-by-step explanation:

V(r) =5πr²

Firstly we have to work with π as ≈ 3.14 so that we can make it better, by doing this we reveal it more clearly its quadratic form

V(r)= 15.71r²

As there is no restriction algebraically speaking. The Domain is all the Real Line. This is a Total Function.

As for the Range, since any negative value plugged into x² will turn into a positive one we'll only have positive results for y to each entry of x. So the Range is f(x) ≥0

As you can check it below.

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Step-by-step explanation: