For a cylindrical fuel tank with a diameter of 4 m and height of 12 m, what is the volume in cubic metres?

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

[ V = \pi r^2 h ]

where ( V ) represents the volume, ( r ) is the radius of the cylinder, and ( h ) is the height.

Given that the diameter of the tank is 4 meters, we first calculate the radius by dividing the diameter by 2:

[ r = \frac{4}{2} = 2 \text{ meters} ]

The height of the tank is given as 12 meters. Now, substituting the values into the volume formula:

[ V = \pi (2)^2 (12) ]

Calculating this step-by-step:

1. Calculate ( r^2 ):

( (2)^2 = 4 ).

2. Multiply by the height:

( 4 \times 12 = 48 ).

3. Now, incorporate ( \pi ):

( V = \pi \times 48 ).

Using the approximate value of ( \pi \approx 3.14 ):

[ V \approx 3.14 \times 48 \approx 150.72 , \text{c