Find the volume in cubic metres of a cylindrical tank that is 3 m in diameter and 16 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,

• ( \pi ) is a constant approximately equal to 3.14159.

In this case, the tank has a diameter of 3 meters, which means its radius ( r ) is half of the diameter:

[

r = \frac{3}{2} = 1.5 \text{ m}

]

The length ( h ) of the tank is given as 16 meters. Plugging these values into the volume formula gives:

[

\text{Volume} = \pi (1.5)^2 (16)

]

Calculating ( (1.5)^2 ) yields:

[

(1.5)^2 = 2.25

]

Now substituting back into the volume equation:

[

\text{Volume} = \pi (2.25) (16) \approx 3.14159 \times 2.25 \times 16