Question

A cylindrical water tank is 1.2 meters high and has a diameter of 4.6 meters. Approximately how much cubic meters of water will the container hold when it is half full?

Answer 1

So what you need to do is find the volume and divide it by 2.

Answer 2

The volume of a cylindrical tank of height $h$ and radius $r$ is

$V=\pi r^2h$. Here $h=1.2\;,2r=4.6\;m,r=2.3\;m$.

Substituting numerical values,

$V=\pi (2.3)^2(1.2)=19.943\;m^3$. When the tank is half full, the amount of water the container holds is

$\frac{V}{2}=19.943/2=9.971\;m^3$