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
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

Answer 2

Answer:
`h=(4V)/(\pi d^2)` meters

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 =
`(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 ((d)/(2))^2h\\\\\Rightarrow V=\pi((d^2)/(4))h\\\\\Rightarrow\ h=(4V)/(\pi d^2)`

Hence, the height of the tank =
`h=(4V)/(\pi d^2)` meters