A right circular cylinder has a radius 'r' and a height 'h'. If the radius is doubled and the height is halved, by what factor does its volume change?

✓ Correct Answer: Option C

The original volume V = πr^2h. The new radius is 2r and new height is h/2. The new volume V' = π(2r)^2(h/2) = π(4r^2)(h/2) = 2πr^2h. Therefore, V' = 2V, meaning the volume is doubled.