Andy had a snowball (a perfect sphere) with a radius of 3 \text{ cm}3 cm3, start text, space, c, m, end text. He wanted the snowball to be bigger, so he spent 444 seconds packing more snow onto it. Each second he spent packing, the snowball's radius increased by 0.25 \text{ cm}0.25 cm0, point, 25, start text, space, c, m, end text.
What is the ratio of the current volume of the snowball to the original volume of the snowball?