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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

User Ilshidur
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2 Answers

4 votes

Answer:


Explanation:

The domain is r > 0

Range = V > 0

User Trama
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9.2k points
4 votes

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)

User Futuretelematics
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