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

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

• A. 40π
• B. 20π
• C. 30π
• D. 10π

Answer: (A)

To determine the volume of a cylindrical tank, the formula used is: \[ V = πr^2h \] where \( V \) represents the volume, \( r \) is the radius of the cylinder's base, and \( h \) is the height of the cylinder. In this case, the radius is 2 meters and the height is 10 meters. Plugging the values into the formula: 1. Calculate the area of the base: \[ A = π(2^2) = π(4) = 4π \] 2. Now, multiply the area of the base by the height: \[ V = 4π \cdot 10 = 40π \] Thus, the volume of the cylindrical tank is \( 40π \) cubic meters. This is why the answer provided is correct; it accurately follows the necessary calculations based on the given dimensions of the tank. The other options would not satisfy the volume calculation based on the stated dimensions; any incorrect answer would arise from miscalculating or misapplying the volume formula for a cylinder.

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

[ V = πr^2h ]

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

In this case, the radius is 2 meters and the height is 10 meters. Plugging the values into the formula:

1. Calculate the area of the base:

[ A = π(2^2) = π(4) = 4π ]

2. Now, multiply the area of the base by the height:

[ V = 4π \cdot 10 = 40π ]

Thus, the volume of the cylindrical tank is ( 40π ) cubic meters. This is why the answer provided is correct; it accurately follows the necessary calculations based on the given dimensions of the tank.

The other options would not satisfy the volume calculation based on the stated dimensions; any incorrect answer would arise from miscalculating or misapplying the volume formula for a cylinder.