Question

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?

Answer 1

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

Step-by-step explanation:

Given: 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.

Then radius of the cylinder =$\frac{d}{2}$

Let h be the height of the cylindrical fuel tank.

We know that the volume of cylinder is given by :-

$\text{Volume}=\pi r^2h$

Now, for the volume of cylindrical tank we have :-

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

Hence, the height of the tank = $h=\frac{4V}{\pi d^2}$ meters

Answer 2

Answer
the V of cylinder is V=Pi r² H, si H = V/Pi x r², or r = d/2, 
so H=4V/Pi x d²