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

Question

asked Sep 16, 2019 40.2k views

2 Answers

Futuretelematics · Answer 1 · 2019-09-23T10:14:20+0000

Answer:

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:

$[0, \infty)$