What is the volume of a cylindrical fuel tank with a diameter of 2 m and a height of 10 m?

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Multiple Choice

What is the volume of a cylindrical fuel tank with a diameter of 2 m and a height of 10 m?

Explanation:
To determine the volume of a cylindrical fuel 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 cylinder - \( h \) is the height of the cylinder - \( \pi \) is a mathematical constant approximately equal to 3.14159. In this case, the diameter of the tank is 2 meters, which means the radius \( r \) is half of the diameter: \[ r = \frac{d}{2} = \frac{2 \, \text{m}}{2} = 1 \, \text{m} \] The height \( h \) of the tank is given as 10 meters. Now, substituting the values into the volume formula: \[ V = \pi (1 \, \text{m})^2 (10 \, \text{m}) \] \[ V = \pi (1)(10) \] \[ V = 10 \pi \] Next, using the approximation for \( \pi \): \[ V \approx 10 \

To determine the volume of a cylindrical fuel 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 cylinder

  • ( h ) is the height of the cylinder

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

In this case, the diameter of the tank is 2 meters, which means the radius ( r ) is half of the diameter:

[ r = \frac{d}{2} = \frac{2 , \text{m}}{2} = 1 , \text{m} ]

The height ( h ) of the tank is given as 10 meters.

Now, substituting the values into the volume formula:

[ V = \pi (1 , \text{m})^2 (10 , \text{m}) ]

[ V = \pi (1)(10) ]

[ V = 10 \pi ]

Next, using the approximation for ( \pi ):

[ V \approx 10 \

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