A cylindrical tank with a diameter of 4' and a length of 5' contains how many cubic feet?

A cylindrical tank with a diameter of 4' and a length of 5' contains how many cubic feet?

• A. 50.3 cu. ft
• B. 62.8 cu. ft
• C. 75.0 cu. ft
• D. 80.5 cu. ft

Answer: (B)

To determine the volume of a cylindrical tank, you can use the formula for the volume of a cylinder, which is: \[ V = \pi r^2 h \] Where: - \( V \) is the volume, - \( r \) is the radius of the cylinder, and - \( h \) is the height (or length) of the cylinder. In this case: - The diameter of the tank is 4 feet, which means the radius \( r \) is half of that: \( r = \frac{4}{2} = 2 \) feet. - The length \( h \) of the tank is given as 5 feet. Now, substituting these values into the volume formula: \[ V = \pi (2^2)(5) \] \[ V = \pi (4)(5) \] \[ V = 20\pi \] Now, using the approximate value of \( \pi \) as 3.14: \[ V \approx 20 \times 3.14 \] \[ V \approx 62.8 \, \text{cu. ft} \] Thus, the volume of the cylindrical tank is approximately 62.8 cubic

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

[ V = \pi r^2 h ]

Where:

• ( V ) is the volume,

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

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

In this case:

• The diameter of the tank is 4 feet, which means the radius ( r ) is half of that: ( r = \frac{4}{2} = 2 ) feet.

• The length ( h ) of the tank is given as 5 feet.

Now, substituting these values into the volume formula:

[ V = \pi (2^2)(5) ]

[ V = \pi (4)(5) ]

[ V = 20\pi ]

Now, using the approximate value of ( \pi ) as 3.14:

[ V \approx 20 \times 3.14 ]

[ V \approx 62.8 , \text{cu. ft} ]

Thus, the volume of the cylindrical tank is approximately 62.8 cubic