.sa-cylinder-calculator-container {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
max-width: 600px;
margin: 20px auto;
padding: 25px;
border: 1px solid #e0e0e0;
border-radius: 10px;
background-color: #fdfdfd;
box-shadow: 0 4px 12px rgba(0, 0, 0, 0.06);
}
.sa-cylinder-calculator-container h2 {
text-align: center;
color: #333;
margin-bottom: 25px;
font-size: 1.8em;
}
.sa-cylinder-calculator-container .input-group {
margin-bottom: 18px;
display: flex;
flex-direction: column;
}
.sa-cylinder-calculator-container label {
margin-bottom: 8px;
font-weight: bold;
color: #555;
font-size: 0.95em;
}
.sa-cylinder-calculator-container input[type="number"] {
width: calc(100% – 20px);
padding: 12px;
border: 1px solid #ccc;
border-radius: 6px;
font-size: 1em;
box-sizing: border-box;
transition: border-color 0.3s ease;
}
.sa-cylinder-calculator-container input[type="number"]:focus {
border-color: #007bff;
outline: none;
box-shadow: 0 0 0 3px rgba(0, 123, 255, 0.25);
}
.sa-cylinder-calculator-container button {
width: 100%;
padding: 14px 20px;
background-color: #007bff;
color: white;
border: none;
border-radius: 6px;
font-size: 1.1em;
font-weight: bold;
cursor: pointer;
transition: background-color 0.3s ease, transform 0.2s ease;
margin-top: 15px;
}
.sa-cylinder-calculator-container button:hover {
background-color: #0056b3;
transform: translateY(-1px);
}
.sa-cylinder-calculator-container button:active {
transform: translateY(0);
}
.sa-cylinder-calculator-container .result-section {
margin-top: 30px;
padding-top: 25px;
border-top: 1px solid #eee;
background-color: #f9f9f9;
border-radius: 8px;
padding: 20px;
}
.sa-cylinder-calculator-container .result-section h3 {
color: #333;
margin-bottom: 15px;
text-align: center;
font-size: 1.4em;
}
.sa-cylinder-calculator-container .result-item {
display: flex;
justify-content: space-between;
padding: 8px 0;
border-bottom: 1px dashed #eee;
font-size: 1.05em;
color: #444;
}
.sa-cylinder-calculator-container .result-item:last-child {
border-bottom: none;
font-weight: bold;
color: #007bff;
font-size: 1.1em;
}
.sa-cylinder-calculator-container .result-item span:first-child {
flex-basis: 70%;
}
.sa-cylinder-calculator-container .result-item span:last-child {
flex-basis: 30%;
text-align: right;
}
.sa-cylinder-calculator-container .error-message {
color: #dc3545;
margin-top: 10px;
text-align: center;
font-weight: bold;
}
function calculateCylinderSA() {
var radiusInput = document.getElementById("cylinderRadius");
var heightInput = document.getElementById("cylinderHeight");
var saResultDiv = document.getElementById("saResult");
var saErrorDiv = document.getElementById("saError");
saResultDiv.style.display = 'none';
saErrorDiv.style.display = 'none';
saErrorDiv.innerHTML = ";
var radius = parseFloat(radiusInput.value);
var height = parseFloat(heightInput.value);
if (isNaN(radius) || isNaN(height) || radius <= 0 || height <= 0) {
saErrorDiv.innerHTML = "Please enter valid, positive numbers for both radius and height.";
saErrorDiv.style.display = 'block';
return;
}
var pi = Math.PI;
// Area of one circular base (top or bottom)
var baseArea = pi * Math.pow(radius, 2);
// Lateral surface area (the curved side)
var lateralArea = 2 * pi * radius * height;
// Total surface area (two bases + lateral area)
var totalArea = (2 * baseArea) + lateralArea;
document.getElementById("baseAreaOutput").innerText = (2 * baseArea).toFixed(2) + " sq. units";
document.getElementById("lateralAreaOutput").innerText = lateralArea.toFixed(2) + " sq. units";
document.getElementById("totalAreaOutput").innerText = totalArea.toFixed(2) + " sq. units";
saResultDiv.style.display = 'block';
}
Cylinder Surface Area Calculator
Calculation Results
Top/Bottom Surface Area:
Lateral Surface Area:
Total Surface Area:
Understanding the Cylinder Surface Area
A cylinder is a fundamental three-dimensional geometric shape consisting of two parallel circular bases connected by a curved surface. Think of everyday objects like a can of soda, a battery, or a rolling pin – these are all examples of cylinders.
Components of Surface Area
The surface area of a cylinder refers to the total area of all its surfaces. For a standard cylinder, this includes three distinct parts:
- Top Circular Base: This is one of the flat, circular ends of the cylinder. Its area is calculated using the formula for the area of a circle:
π * r², where 'r' is the radius of the base. - Bottom Circular Base: Identical to the top base, its area is also
π * r². - Lateral Surface Area: This is the curved side that connects the two circular bases. If you were to unroll this curved surface, it would form a rectangle. The length of this rectangle would be the circumference of the base (
2 * π * r), and its width would be the height of the cylinder (h). Therefore, the lateral surface area is2 * π * r * h.
Formulas Used in the Calculator
Our calculator uses the following formulas to determine the surface area:
- Area of One Base:
A_base = π * r² - Lateral Surface Area:
A_lateral = 2 * π * r * h - Total Surface Area:
A_total = 2 * A_base + A_lateral
Which can also be written as:A_total = 2 * π * r² + 2 * π * r * h
Or, by factoring:A_total = 2 * π * r * (r + h)
Where:
π(Pi) is approximately 3.14159ris the radius of the cylinder's basehis the height of the cylinder
Example Calculation
Let's consider a common example: a standard soup can.
- Assume the radius (r) of the can's base is 3.5 cm.
- Assume the height (h) of the can is 10 cm.
Using the formulas:
- Area of one base:
π * (3.5 cm)² = π * 12.25 cm² ≈ 38.48 cm² - Area of two bases:
2 * 38.48 cm² = 76.96 cm² - Lateral Surface Area:
2 * π * 3.5 cm * 10 cm = 70 * π cm² ≈ 219.91 cm² - Total Surface Area:
76.96 cm² + 219.91 cm² = 296.87 cm²
So, a soup can with a radius of 3.5 cm and a height of 10 cm has a total surface area of approximately 296.87 square centimeters. This calculator helps you quickly find these values for any cylinder by simply entering its radius and height.