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)
Responses

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

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

1 answer

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 interpretation correctly states that when you substitute \( r = 3 \) into the function \( V(r) = 10\pi r^2 \), the resulting volume is \( 90\pi \).