How do you calculate the lateral surface area of a cylindrical tank that is 3 m in diameter and 12 m long?

How do you calculate the lateral surface area of a cylindrical tank that is 3 m in diameter and 12 m long?

• A. 113.1 m²
• B. 113.9 m²
• C. 90.0 m²
• D. 126.2 m²

Answer: (A)

To calculate the lateral surface area of a cylindrical tank, you can use the formula: Lateral Surface Area = 2 × π × r × h Where: - r is the radius of the cylinder, and - h is the height (or length) of the cylinder. In this case, the tank has a diameter of 3 meters, which means the radius is half of that: r = diameter / 2 = 3 m / 2 = 1.5 m The length (height) of the tank is given as 12 meters. Now, substituting the values into the formula: Lateral Surface Area = 2 × π × 1.5 m × 12 m Calculating step-by-step: 1. Calculate the radius and height: r = 1.5 m, h = 12 m 2. Compute the multiplication: 2 × π × 1.5 m × 12 m = 2 × 3.14159 × 1.5 × 12 3. This equals approximately: 2 × 3.14159 × 1.5 × 12 ≈ 113.1 m² Therefore, the correct calculation

To calculate the lateral surface area of a cylindrical tank, you can use the formula:

Lateral Surface Area = 2 × π × r × h

Where:

• r is the radius of the cylinder, and

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

In this case, the tank has a diameter of 3 meters, which means the radius is half of that:

r = diameter / 2 = 3 m / 2 = 1.5 m

The length (height) of the tank is given as 12 meters.

Now, substituting the values into the formula:

Lateral Surface Area = 2 × π × 1.5 m × 12 m

Calculating step-by-step:

1. Calculate the radius and height:

r = 1.5 m, h = 12 m

2. Compute the multiplication:

2 × π × 1.5 m × 12 m = 2 × 3.14159 × 1.5 × 12

3. This equals approximately:

2 × 3.14159 × 1.5 × 12 ≈ 113.1 m²

Therefore, the correct calculation