Question

The volume of a cylindrical soap dispenser is modeled by the expression below.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.

Answer 1

c. the factor 4x + 1 represents the height of the soap dispenser

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

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

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

`V=pi(x+1)^2(4x+1)`

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