Question

The height of one tank of capacity 30 cubic feet is 5.0 feet. What would be the height of a tank, with an equally sized base, of capacity 27 cubic feet?

Answer 1

Answer:

$\large \boxed{\text{4.5 ft}}$

Step-by-step explanation:

The formula for the volume of a tank is

V = base × height

If we are comparing two tanks with equal bases,

$\begin{array}{rcl}\dfrac{V_{2}}{V_{1}} & = & \dfrac{h_{2}}{h_{1} }\\\\\dfrac{27}{30} & = & \dfrac{h_{2}}{5.0}\\\\0.90 & = & \dfrac{h_{2}}{5.0}\\\\h_{2} & = & \textbf{4.5 ft}\\\end{array}\\\text{The height of the second tank would be \large \boxed{\textbf{4.5 ft}} }$