Cylinder Surface Area Calculator

Calculate the lateral curved area and total surface boundary of any circular cylinder with exact π values and decimal working.

▮ Cylinder Surface Area Calculator

Formula: A = 2πr(r + h)

Base Radius (r) *

Cylinder Height (h) *

Decimal Precision

Calculated Total Surface Area

150.7964 cm²

Step-by-Step Mathematical Breakdown:

1. Radius \( r = 3\text{ cm} \), Height \( h = 5\text{ cm} \)

2. Curved Lateral Area: \( 2\pi rh = 2\pi(3)(5) = 30\pi \approx 94.2478\text{ cm}^2 \)

3. Top & Bottom Base Areas: \( 2\pi r^2 = 2\pi(9) = 18\pi \approx 56.5487\text{ cm}^2 \)

4. Total Surface Area: \( A = 30\pi + 18\pi = 48\pi \approx \mathbf{150.7964\text{ cm}^2} \)

What is the formula for the surface area of a cylinder?

The total surface area of a closed cylinder is A = 2πrh + 2πr² = 2πr(r + h), where r is the base radius and h is the height.

What is the difference between lateral and total surface area?

The lateral surface area is only the curved tube (2πrh). Total surface area includes the curved tube plus both circular end caps (+ 2πr²).