Respuesta :
Answer:
Domain = [tex]r \geq 0[/tex]
Range = [tex]V(r) \geq 0[/tex]
Step-by-step explanation:
Domain: The set of all possible value of independent variable(x) where function is defined.
Range: The complete set of all possible resulting values of the dependent variable(y).
As per the statement:
The formula for the volume of a cylinder with a height of 5 units is:
[tex]V(r) = 5 \pi r^2[/tex]
where, r is the radius of the cylinder and r cannot be in negative i.e [tex]r \geq 0[/tex]
here, r is the independent variable and V(r) is the dependent variable
by definition of domain and Range
Domain of the given function is: [tex]r \geq 0[/tex] or in interval = [tex][0, \infty)[/tex]
Range of the function(V(r)) is:
[tex][0, \infty)[/tex]
