Find the volume in cubic metres of a cylindrical tank that is 4 m in diameter and 17 m long.

To determine the volume of a cylindrical tank, you can use the formula for the volume of a cylinder, which is given by:

[ V = \pi r^2 h ]

where:

• ( V ) is the volume,

• ( r ) is the radius of the base, and

• ( h ) is the height (or length) of the cylinder.

In this case, the tank has a diameter of 4 m. To find the radius, you divide the diameter by 2:

[ r = \frac{d}{2} = \frac{4 \text{ m}}{2} = 2 \text{ m} ]

The height (length) of the cylindrical tank is given as 17 m. Now you can substitute the values of the radius and height into the volume formula:

[ V = \pi (2 \text{ m})^2 (17 \text{ m}) ]

[ V = \pi (4 \text{ m}^2) (17 \text{ m}) ]

[ V = 68\pi \text{ m}^3 ]

Using the value of (\pi) as approximately 3.14159,