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

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.

A radius of 3 gives the value 90.
A radius of 3 gives the value 90.

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

Answer 1

The correct interpretation for 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 you substitute \( r = 3 \) into the volume formula \( V(r) = 10\pi r^2 \), you find that the volume of the cylinder with a radius of 3 inches is \( 90\pi \) cubic inches.