Answer to Question #136607 in Physics for nina

Question

b. A rectangular water tank has dimensions of 2.0 m x 1.0 m x 1.0 m. What would be the diameter of a 1.50-m high cylinder tank to contain the same amount of water that the rectangular tank contains

Answer 1

The volume of a rectangular water tank

$$V=a\times b\times c$$

The volume of a cylinder water tank

$$V=\pi R^2h$$

Hence, the high of cylinder tank

$$h=\frac{abc}{\pi R^2}=\rm \frac{2.0\times 1.0\times 1.0}{3.14\times (1.50/2)^2}=1.13\: m$$