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?

Guest Jun 25, 2021

#2**+2 **

this is how you find the volume of a cylinder:

$V=\pi r^2h $

in our case, the thing is using the diameter instead of r, which is no big deal ; thus you can write it as : $\pi \left(\frac{1}{2}d\right)^2h=V$

we want to solve for h:

$\frac{\pi }{4}d^2h=V$

get rid of the fraction form:

$\pi hd^2=4V$

take pi d^2 to the other side:

$h=\frac{4V}{\pi d^2}$

and thats it!

UsernameTooShort Jun 25, 2021