The function V(r)=10πr2

Question

𝑉
(
𝑟
)
=
10
𝜋
𝑟
2
represents the volume of a cylinder that is 10 inches high with a radius of r. Which is the correct interpretation for the function notation V(3)=90π
𝑉
(
3
)
=
90
𝜋
?(1 point)
Responses

A cylinder of 90π
90
𝜋
is produced from a radius of 3.
A cylinder of 90 pi is produced from a radius of 3.

The volume of the cylinder is 90π
90
𝜋
when the radius is 3.
The volume of the cylinder is 90 pi when the radius is 3.

The volume of the cylinder is 3 when the radius is 90π
90
𝜋
.
The volume of the cylinder is 3 when the radius is 90 pi .

A radius of 3 gives the value 90.

Answer 1

The correct interpretation of the function notation \( V(3) = 90\pi \) is:

The volume of the cylinder is \( 90\pi \) when the radius is 3.

This means that when the radius \( r \) of the cylinder is 3 inches, the volume \( V \) calculated using the formula \( V(r) = 10\pi r^2 \) results in \( 90\pi \) cubic inches.