.vessel-calc-container { font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; max-width: 800px; margin: 20px auto; padding: 25px; border: 1px solid #e1e1e1; border-radius: 12px; background-color: #ffffff; color: #333; box-shadow: 0 4px 15px rgba(0,0,0,0.05); }
.vessel-calc-container h2 { color: #1a73e8; margin-top: 0; font-size: 28px; text-align: center; }
.vessel-calc-form { display: grid; grid-template-columns: 1fr 1fr; gap: 20px; margin-bottom: 25px; }
.vessel-calc-group { display: flex; flex-direction: column; }
.vessel-calc-group label { margin-bottom: 8px; font-weight: 600; font-size: 14px; color: #555; }
.vessel-calc-group input, .vessel-calc-group select { padding: 12px; border: 1px solid #ccc; border-radius: 6px; font-size: 16px; transition: border-color 0.3s; }
.vessel-calc-group input:focus { border-color: #1a73e8; outline: none; }
.vessel-calc-full { grid-column: 1 / -1; }
.vessel-calc-btn { background-color: #1a73e8; color: white; border: none; padding: 15px; border-radius: 6px; font-size: 18px; font-weight: bold; cursor: pointer; transition: background 0.3s; }
.vessel-calc-btn:hover { background-color: #1557b0; }
.vessel-result-box { background-color: #f8f9fa; border-left: 5px solid #1a73e8; padding: 20px; margin-top: 25px; border-radius: 4px; }
.vessel-result-row { display: flex; justify-content: space-between; margin-bottom: 10px; font-size: 16px; border-bottom: 1px dashed #ddd; padding-bottom: 5px; }
.vessel-result-value { font-weight: bold; color: #1a73e8; }
.vessel-article { margin-top: 40px; line-height: 1.6; color: #444; }
.vessel-article h3 { color: #222; margin-top: 25px; }
.vessel-article p { margin-bottom: 15px; }
.hidden-field { display: none; }
@media (max-width: 600px) { .vessel-calc-form { grid-template-columns: 1fr; } }
Volume Vessel Calculator
Total Vessel Capacity:
–
Current Liquid Volume:
–
Volume in Liters:
–
Volume in US Gallons:
–
How to Calculate Vessel Volume
Calculating the volume of a storage vessel is essential in industrial engineering, chemical processing, and water management. The mathematical approach varies depending on the geometry of the container.
Vessel Shape Formulas
- Vertical Cylinder: Volume = π × r² × h. To find the partial volume, substitute the total height with the liquid fill height.
- Rectangular Tank: Volume = Length × Width × Height.
- Spherical Tank: Volume = (4/3) × π × r³. For partial fill, the formula becomes V = (π × h² / 3) × (3r – h).
- Horizontal Cylinder: This is the most complex. It requires calculating the area of a circular segment and multiplying it by the length: V = L × [r² cos⁻¹((r-h)/r) – (r-h)√(2rh – h²)].
Example Calculation
Suppose you have a Vertical Cylindrical Tank with a diameter of 4 meters and a height of 6 meters. If the liquid is filled to 3 meters:
- Radius (r) = 4 / 2 = 2 meters.
- Total Volume = 3.14159 × 2² × 6 = 75.40 m³.
- Liquid Volume = 3.14159 × 2² × 3 = 37.70 m³.
- Conversion to Liters = 37.70 × 1000 = 37,700 Liters.
Practical Applications
Accurate vessel calculations prevent overflow hazards, assist in inventory management (calculating how much product is left in a silo), and ensure the structural integrity of the vessel supports the mass of the contents.
function toggleVesselFields() {
var type = document.getElementById("vesselType").value;
var d1c = document.getElementById("dim1_container");
var d2c = document.getElementById("dim2_container");
var d3c = document.getElementById("dim3_container");
var l1 = document.getElementById("label_dim1");
var l2 = document.getElementById("label_dim2");
var l3 = document.getElementById("label_dim3");
// Reset visibility
d1c.style.display = "flex";
d2c.style.display = "flex";
d3c.style.display = "none";
if (type === "vertical_cylinder" || type === "horizontal_cylinder") {
l1.innerText = "Diameter (meters)";
l2.innerText = "Height / Length (meters)";
} else if (type === "rectangular") {
l1.innerText = "Length (meters)";
l2.innerText = "Height (meters)";
l3.innerText = "Width (meters)";
d3c.style.display = "flex";
} else if (type === "spherical") {
l1.innerText = "Diameter (meters)";
d2c.style.display = "none";
}
}
function calculateVesselVolume() {
var type = document.getElementById("vesselType").value;
var d1 = parseFloat(document.getElementById("dim1").value);
var d2 = parseFloat(document.getElementById("dim2").value);
var d3 = parseFloat(document.getElementById("dim3").value);
var fill = parseFloat(document.getElementById("fillLevel").value);
if (isNaN(d1)) { alert("Please enter valid dimensions."); return; }
var totalVol = 0;
var liquidVol = 0;
var PI = Math.PI;
if (type === "vertical_cylinder") {
var r = d1 / 2;
totalVol = PI * Math.pow(r, 2) * d2;
if (!isNaN(fill)) {
var actualFill = Math.min(fill, d2);
liquidVol = PI * Math.pow(r, 2) * actualFill;
} else {
liquidVol = totalVol;
}
} else if (type === "horizontal_cylinder") {
var r = d1 / 2;
totalVol = PI * Math.pow(r, 2) * d2;
if (!isNaN(fill)) {
var h = Math.min(fill, d1);
var area = Math.pow(r, 2) * Math.acos((r – h) / r) – (r – h) * Math.sqrt(2 * r * h – Math.pow(h, 2));
liquidVol = area * d2;
} else {
liquidVol = totalVol;
}
} else if (type === "rectangular") {
totalVol = d1 * d2 * d3;
if (!isNaN(fill)) {
var actualFill = Math.min(fill, d2);
liquidVol = d1 * actualFill * d3;
} else {
liquidVol = totalVol;
}
} else if (type === "spherical") {
var r = d1 / 2;
totalVol = (4 / 3) * PI * Math.pow(r, 3);
if (!isNaN(fill)) {
var h = Math.min(fill, d1);
liquidVol = (PI * Math.pow(h, 2) / 3) * (3 * r – h);
} else {
liquidVol = totalVol;
}
}
if (isNaN(totalVol) || totalVol <= 0) {
alert("Calculation error. Please check your inputs.");
return;
}
document.getElementById("totalVolRes").innerText = totalVol.toFixed(3) + " m³";
document.getElementById("liquidVolRes").innerText = liquidVol.toFixed(3) + " m³";
document.getElementById("litersRes").innerText = (liquidVol * 1000).toLocaleString(undefined, {maximumFractionDigits: 0}) + " L";
document.getElementById("gallonsRes").innerText = (liquidVol * 264.172).toLocaleString(undefined, {maximumFractionDigits: 0}) + " gal";
document.getElementById("vesselResult").style.display = "block";
}