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?

V = π r^2 h

d = 2r

V = π (d/2)^2 h

Solve for h.

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

V = π * r^2 * h

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

In this case, we are given the volume V and the diameter d of the tank. We need to find the radius in order to find the height.

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

r = d / 2

Once we have the radius, we can rearrange the formula for the volume of a cylinder to solve for the height (h):

h = V / (π * r^2)

Now, you can substitute the given values into the formula to find the height of the tank.