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?

Question

The volume of the cylinder is 90π when the radius is 3. A radius of 3 gives the value 90.
A cylinder of 90π 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 \( 90\pi \) when the radius is 3.

This is because \( V(r) \) is defined as the volume of the cylinder in terms of its radius \( r \), and substituting \( r = 3 \) into the function gives the volume of the cylinder at that radius.