Cylinder Volume Calculator

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Cylinder Volume Calculator
Calculate Volume (Using Radius)Calculate Volume (Using Diameter)
unitsinchesfeetmeterscmmm
Answer:
Enter values above and click Calculate.
function updateLabels(){var mode=document.getElementById('calc_mode').value;var l1=document.getElementById('label1′);if(mode==='radius'){l1.innerHTML='Radius (r):';}else{l1.innerHTML='Diameter (d):';}}function calculateResult(){var mode=document.getElementById('calc_mode').value;var v1=parseFloat(document.getElementById('input1').value);var v2=parseFloat(document.getElementById('input2').value);var unit=document.getElementById('units').value;var showSteps=document.getElementById('steps').checked;var ansDiv=document.getElementById('answer');if(isNaN(v1)||isNaN(v2)){ansDiv.innerHTML='Please enter valid numeric values for all fields.';return;}var r, d;if(mode==='radius'){r=v1;d=v1*2;}else{d=v1;r=v1/2;}var volume=Math.PI*Math.pow(r,2)*v2;var surfaceArea=(2*Math.PI*r*v2)+(2*Math.PI*Math.pow(r,2));var output='
Volume (V) = '+volume.toLocaleString(undefined,{maximumFractionDigits:4})+' cubic '+unit+'
';output+='
Surface Area (A) = '+surfaceArea.toLocaleString(undefined,{maximumFractionDigits:4})+' sq '+unit+'
';if(showSteps){output+='
';output+='Step-by-Step Solution:

';output+='1. Formula: V = πr2h
';if(mode==='diameter'){output+='2. Calculate radius: r = d / 2 = '+d+' / 2 = '+r+'
';output+='3. Plug in values: V = π × ('+r+')2 × '+v2+'
';}else{output+='2. Plug in values: V = π × ('+r+')2 × '+v2+'
';}output+='4. Square the radius: '+r+'2 = '+(r*r)+'
';output+='5. Multiply: π × '+(r*r)+' × '+v2+'
';output+='6. V = '+volume.toFixed(6)+'
';}ansDiv.innerHTML=output;}

Cylinder Volume Calculator Use

This cylinder volume calculator is a specialized tool designed to help you quickly find the internal space or capacity of any right circular cylinder. Whether you are calculating the capacity of a water tank, the volume of a pipe, or the amount of liquid in a soda can, this calculator provides accurate results instantly. By entering just two dimensions—either radius and height or diameter and height—you can determine the total cubic units of the object.

Engineers, students, and DIY enthusiasts use this tool to estimate material needs, such as the amount of concrete needed for a cylindrical pillar or the fuel capacity of a storage tank. The calculator also provides the total surface area, which is essential for determining how much paint or coating is required to cover the exterior of the cylinder.

How to Calculate the Volume of a Cylinder

To use the cylinder volume calculator effectively, you must understand the basic geometric principles of a cylinder. A cylinder consists of two parallel circular bases connected by a curved surface. The distance between these two bases is known as the height (h).

The fundamental formula for volume is based on multiplying the area of the base by the height:

Volume (V) = π × r2 × h

  • π (Pi): A mathematical constant approximately equal to 3.14159.
  • r (Radius): The distance from the center of the circular base to its edge.
  • h (Height): The vertical distance between the top and bottom circles.

If you only have the diameter (d), remember that the diameter is twice the radius. To find the radius, simply divide the diameter by 2. The formula using diameter is: V = π × (d/2)2 × h.

Step-by-Step Calculation Example

Example Scenario: You have a cylindrical rainwater harvesting tank that has a diameter of 6 feet and a height of 10 feet. How much water can it hold?

Step-by-step solution:

  1. Identify the given dimensions: Diameter = 6 ft, Height = 10 ft.
  2. Convert diameter to radius: r = 6 / 2 = 3 ft.
  3. Apply the formula: V = π × r2 × h
  4. Square the radius: 32 = 9.
  5. Multiply by Pi: 3.14159 × 9 = 28.27431.
  6. Multiply by the height: 28.27431 × 10 = 282.7431.
  7. Result: The volume is approximately 282.74 cubic feet.

Frequently Asked Questions

What units does the cylinder volume calculator use?

Our cylinder volume calculator is unit-agnostic. This means as long as you use the same unit for both the radius and height (e.g., both in inches), the result will be in that unit cubed (e.g., cubic inches). You can select common units like centimeters, meters, or feet from the dropdown to keep your labels organized.

How do I convert cubic feet to gallons?

To convert the volume from cubic feet to US gallons, multiply the result by 7.48. For example, if your cylinder has a volume of 100 cubic feet, it holds roughly 748 gallons of liquid.

Can this calculate the volume of an oval cylinder?

No, this specific calculator is for right circular cylinders (where the base is a perfect circle). For an elliptical (oval) cylinder, the formula changes to Volume = π × a × b × h, where 'a' and 'b' are the semi-axes of the ellipse.

Why is surface area included in the result?

Surface area is often just as important as volume. For example, if you are building a cylinder, the volume tells you how much it holds, but the surface area tells you how much material (like sheet metal) you need to construct the walls and the lids.

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