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

D

Explanation:

Answer 2

The expression
`(x+1)^2` represents the radius of the soap dispenser.

The expression
`4x+1` represents the height of the soap dispenser.

Explanation:

The question says that the soap dispenser is in the form of a cylinder.

Now, we find the volume of the cylinder by using the given formula:

`V= \pi r^2 h`, where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.

Now, the volume is the product of radius squared and the height, if they both are functions of
`x`, then the function to represent the volume must have cubic exponents.

Since, the radius is squared in the formula and it is a function of
`x` that implies that the function of radius must have square as the exponent of
`x`, therefore, the expression
`(x+1)^2` will represent the radius of the soap dispenser and the expression
`(4x+1)` represents the height of the soap dispenser.