Answer:
c. the factor 4x + 1 represents the height of the soap dispenser
Step-by-step explanation:
The complete question is
The volume of a cylindrical soap dispenser is modeled by the expression below.
pi(x+1)^2(4x+1)
Select the true statement.
a. the expression (x + 1)2 represents the height of the soap dispenser.
b. the expression (x + 1)2 represents the radius of the soap dispenser.
c. the factor 4x + 1 represents the height of the soap dispenser.
d. the factor 4x + 1 represents the area of the base of the soap dispenser
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
where
V is the volume of cylinder
r is the radius of the base of cylinder
h is the height of the cylinder
In this problem we have
[tex]V=pi(x+1)^2(4x+1)[/tex]
where
V is the volume of a cylindrical soap dispenser
r=(x+1) ----> is the radius of the soap dispenser
h=(4x+1) ----> is the height of the soap dispenser
therefore
The true statement is the option
c. the factor 4x + 1 represents the height of the soap dispenser
