Measuring a displaced sphere?

Question

I have a problem, I have a guy drawing up deck plans for a ship for my game and he has hit a road block.

The ship is a sphere 9800 kiloliters in volume. The volume of the ship is displaces by two Cigar shaped smaller ship. Each of the smaller ships is 700 kiloliters in volume. However, only 85% of the smaller ships are actually displacing the larger ships hull.

What should the circumference and diameter of the main ship be.

Answer 1

If I get this correctly, the volume of the sphere is 9800 kiloliters before you subtract the other ships volumes.

9800 kL = 9800 m³

V = ⁴/₃πr³

9800 = ⁴/₃πr³

r = 13.28 meter

If you phrased it incorrectly, and the 9800 kiloliters is after you subtract the other volumes, then the volume of the ship is:

V = 9800 kiloliters + 0.85(2*700 kL) = 10990 kL

which is 10990 m³

10990 = ⁴/₃πr³

r = 13.79 meter

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