A cylindrical fuel tank with a diameter of 5 m and height of 15 m has a volume in litres of?

A cylindrical fuel tank with a diameter of 5 m and height of 15 m has a volume in litres of?

• A. 294,525
• B. 29,452.5
• C. 2,945.25
• D. 294.525

Answer: (A)

To determine the volume of a cylindrical fuel tank, you can use the formula for the volume of a cylinder: \[ V = \pi r^2 h \] where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height of the cylinder. In this case, the diameter of the tank is given as 5 meters, which means the radius is half of that: \[ r = \frac{5 \, \text{m}}{2} = 2.5 \, \text{m} \] The height \( h \) is provided as 15 meters. Now, substituting the values into the volume formula: \[ V = \pi (2.5 \, \text{m})^2 (15 \, \text{m}) \] Calculating the radius squared: \[ (2.5 \, \text{m})^2 = 6.25 \, \text{m}^2 \] Now, substituting back into the volume equation: \[ V = \pi (6.25 \, \text{m}^2) (15 \, \text{m}) \]

To determine the volume of a cylindrical fuel tank, you can use the formula for the volume of a cylinder:

[ V = \pi r^2 h ]

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

In this case, the diameter of the tank is given as 5 meters, which means the radius is half of that:

[ r = \frac{5 , \text{m}}{2} = 2.5 , \text{m} ]

The height ( h ) is provided as 15 meters.

Now, substituting the values into the volume formula:

[ V = \pi (2.5 , \text{m})^2 (15 , \text{m}) ]

Calculating the radius squared:

[ (2.5 , \text{m})^2 = 6.25 , \text{m}^2 ]

Now, substituting back into the volume equation:

[ V = \pi (6.25 , \text{m}^2) (15 , \text{m}) ]