Question

The formula for the volume of a cylinder with a height of 5 units is V(r)=5pier^2 where r is the radius o the cylinder. What is the domain and range for this function

Answer 1

Explanation:

The domain is r > 0

Range = V > 0

Answer 2

Domain =
`r \geq 0`

Range =
`V(r) \geq 0`

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:

`V(r) = 5 \pi r^2`

where, r is the radius of the cylinder and r cannot be in negative i.e
`r \geq 0`

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:
`r \geq 0` or in interval =
`[0, \infty)`

Range of the function(V(r)) is:

`[0, \infty)`