Find the volume in cubic metres of a cylindrical tank that is 2 m in diameter and 14 m long.

To determine the volume of a cylindrical tank, the formula used is:

[ \text{Volume} = \pi r^2 h ]

where ( r ) is the radius of the cylinder, ( h ) is the height (or length) of the cylinder, and ( \pi ) is approximately 3.14159.

In this case, the tank has a diameter of 2 m, which means the radius (r) is half of that:

[ r = \frac{2}{2} = 1 \text{ m} ]

The length of the tank (h) is given as 14 m. Now, we can substitute the values into the volume formula:

[ \text{Volume} = \pi (1)^2 (14) ]

[ \text{Volume} = \pi \times 1 \times 14 ]

[ \text{Volume} = 14\pi ]

Using the approximate value of ( \pi ):

[ 14 \pi \approx 14 \times 3.14159 \approx 43.98 \text{ m}^3 ]

This value rounds to approximately 44 cubic metres. Thus, the correct