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?

h = Vm^3/pi*(dm/2)^2 = Vm^3/pi*dm^2/4 =

Vm^3 * 4/pi*dm^2 = 4Vm/pi*d = 4Vm/3.14d = 1.27Vm/d = 1.27V/d Meters.

To find the height of the tank, we need to use the formula for the volume of a cylinder, which is given by:

V = πr^2h

Where V is the volume, r is the radius, and h is the height of the cylinder.

First, let's find the radius of the tank. The diameter (d) is given, and we know that the radius (r) is half of the diameter. So, we can calculate the radius by dividing the diameter by 2:

r = d/2

Now, let's rearrange the formula for the volume to solve for h:

V = πr^2h

Divide both sides of the equation by πr^2:

h = V/(πr^2)

Substitute the value of r we found earlier:

h = V/(π(d/2)^2)

Simplify further:

h = V/(π(d^2/4))

To find the height of the tank, divide the volume of fuel (V) by the product of π and (d^2/4):

h = (4V)/(πd^2)

Thus, the height of the tank is given by the formula: h = (4V)/(πd^2) meters.