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:

D.   4V/pi X d²

Explanation:

I just took a test on Plato/Edmentum with this question and this was the right answer

~Please mark me as brainliest :)

Answer 2

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius=\frac{diameter}{2}\\ h=height\\ ----------\\ diameter = d\\ r=\frac{d}{2} \end{cases}\implies V=\pi \left( \frac{d}{2} \right)^2 h \\\\\\ V=\pi \left( \frac{d^2}{2^2} \right)h\implies V=\cfrac{\pi d^2 h}{4}\implies 4V=\pi d^2 h\implies \cfrac{4V}{\pi d^2}=h$