The function V(r)=10πr2 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 ?(1 point)

Question

Responses

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

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

A cylinder of 90π 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 3 when the radius is 90π.

Answer 1

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

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

This means that when you substitute the radius \( r = 3 \) into the volume function \( V(r) = 10\pi r^2 \), you calculate the volume as \( V(3) = 10\pi(3^2) = 10\pi(9) = 90\pi \).