4. its loss of weight in water = 112400 p π x2;
5. the weight of the gas-holder in its lowest position = p π x2 (3 - 112400) = 2·72 p π x2;
6. the weight of n inches, height of water = 5612 n π x2;
7. the amount of the counterweight = π x2 (3 p - 56 n12);
8. the weight of the chain for the length x = 112800 p π x.
If we reduce the weight of the gas-holder in its highest and lowest positions to the height of a stratum of water equal to the surface of its top, this height is that of the column of water which would press the gas within the gasometer, were no counterweight employed; it consists as follows;—
9. for the highest position = 3 p56;
10. for the lowest = 2·72 p50;
For the case, when the height of the gas-holder is different from its semi-diameter, let this height = m x; then the height of the water level is
11. for the highest position = p (1 + 2 m56);