What is the volume in cubic metres of a cylindrical tank 8 m in diameter and 15 m long?

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

[ V = \pi r^2 h ]

where:

• ( V ) is the volume,

• ( r ) is the radius of the cylinder,

• ( h ) is the height (or length, in the case of a horizontal cylinder),

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

Given that the diameter of the tank is 8 m, the radius would be half of that, which is 4 m. The length of the cylinder is given as 15 m.

Plugging in the values into the volume formula:

1. Calculate the radius squared:

[ r^2 = 4^2 = 16 ]

2. Multiply by the height/length:

[ V = \pi \times 16 \times 15 ]

3. Calculate:

[ V = \pi \times 240 ]

[ V \approx 3.14159 \times 240 \approx 753.984 ]

This calculation shows that the volume of the cylindrical tank is approximately 753.984 cubic metres, confirming that the choice which states this volume