Final answer:
To find the cost to fill a tank with a larger diameter, you can calculate the volume of the larger tank and multiply it by the cost per unit volume of the smaller tank.
Step-by-step explanation:
To find the cost to fill a tank with a larger diameter, we can use the concept of volume. The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere. Since the diameter is given, we can find the radius by dividing the diameter by 2. Then, we can calculate the volume of the larger tank by using the formula and the given diameter. Finally, we can find the cost by multiplying the volume by the cost per unit volume.
Let's assume that the cost per unit volume is the same for both tanks. So if filling a tank with a diameter of 4m costs 51000, then the cost per unit volume is 51000/volume of the smaller tank. We can multiply this cost per unit volume by the volume of the larger tank to find the cost to fill it.
Mathematically, the cost to fill a tank with a larger diameter can be calculated as:
Cost = (V_larger/V_smaller) * Cost_smaller