A satellite launch rocket has a cylindrical fuel tank. The fuel tank can hold V cubic meters of fuel. If the tank measures d meters across, what is the height of the tank in meters?

(pi d^2/4)h = V

h = 4 V/(pi d^2)

To find the height of the tank, we need to use the formula for the volume of a cylinder. The formula is:

V = π * r^2 * h

Where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.

In this case, the tank measures d meters across, which means the diameter is equal to d meters. The radius of the tank is half of the diameter, so the radius, r, can be calculated by dividing the diameter by 2:

r = d/2

Once we have the radius, we can rearrange the formula to solve for the height of the tank, h:

h = V / (π * r^2)

By substituting the given values into the formula, we can find the height of the tank.