Cylindrical Tank Surface Area Calculator

Formula:

Total Surface Area (A) = 2πr² + 2πrh

Instructions:

1. Enter the radius (r) and height (h) of the cylindrical tank.
2. Click the "Calculate" button.
3. The surface area of the cylindrical tank will be displayed.

The surface area of a cylindrical tank refers to the total area of the outer surfaces of the cylinder. A cylindrical tank is a three-dimensional shape that resembles a can or a pipe.

Lateral Surface Area (LSA):

This is the surface area of the curved side of the cylinder, excluding the two circular bases. The lateral surface area can be calculated using the formula:

LSA = 2πrh

Where:

• LSA is the lateral surface area.
• π (pi) is a mathematical constant approximately equal to 3.14159.
• r is the radius of one of the circular bases.
• h is the height of the cylinder.

Base Area (BA):

This is the combined area of both circular bases. The base area can be calculated using the formula for the area of a circle:

BA = πr²

Where:

• BA is the base area.
• π (pi) is the mathematical constant.
• r is the radius of one of the circular bases.

Total Surface Area (A):

The total surface area of the cylindrical tank is the sum of the lateral surface area and the base area:

A = 2πr² + 2πrh

Where:

• A is the total surface area.
• π (pi) is the mathematical constant.
• r is the radius of one of the circular bases.
• h is the height of the cylinder.

In practical applications, knowing the surface area of a cylindrical tank is important for various reasons, such as:

• Painting or Coating: To determine the amount of paint or coating material required to cover the tank's surface.
• Insulation: To calculate the amount of insulation material needed to maintain temperature.
• Material Cost: In industries where materials are priced based on surface area, such as sheet metal or fabric.
• Heat Transfer: In engineering and thermodynamics for heat exchange calculations.
• Structural Design: To understand the load-bearing capacity of the tank's walls.