Kata Task

Imagine if the rings of Saturn were the remains of some ancient moon.

How big would that moon be?

Let's find out.

Input

• d - diameter of the planet
• r1 - distance from the planet surface to the inner ring
• r2 - distance from the planet surface to the outer ring
• t - thickness of the rings
• ratio - % of solid material within the rings (the rest is just empty space)

Output

• diameter of a spherical solid moon made up of all the ring material.

Notes

• All distance units are km