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?
this is how you find the volume of a cylinder:
V=πr2h
in our case, the thing is using the diameter instead of r, which is no big deal ; thus you can write it as : π(12d)2h=V
we want to solve for h:
π4d2h=V
get rid of the fraction form:
πhd2=4V
take pi d^2 to the other side:
h=4Vπd2
and thats it!