The function V(r) = 10πr^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?

Question

A: a radius of 3 gives the value 90

B: a cylinder of 90π is produced from a radius of 3

C: the volume of the cylinder is 3 when the radius is 90π

D: the volume of the cylinder is 90π when the radius is 3

Answer 1

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

D: 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 get \( V(3) = 10\pi(3^2) = 10\pi(9) = 90\pi \).