Volume of a Cylinder Calculator
What the Cylinder Volume Calculator Does
Every cylinder, from a water tank to a soda can, is a circle stretched along a height, and this calculator measures the space inside it. You supply the Base radius and Height, press Calculate Volume, and the result appears in cubic units. Plumbers sizing pipes, brewers planning fermenters, and students checking physics homework all depend on this one calculation. It works just as well for candles, planters, slow cookers, and any round container you want to fill.
The Volume Formula Explained
The volume equals pi times the radius squared times the height, written V = pi x r^2 x h. Since a circle of radius r already covers pi x r^2 in area, the method is simply base area multiplied by length. Use pi as 3.14159 unless a problem demands more precision.
Worked example: a tank with Base radius 2 and Height 10 has r^2 = 4, so the volume is 3.14159 x 4 x 10, about 125.7 cubic units. Shrinking the radius to 1 drops the volume to roughly 31.4, which shows how strongly the radius dominates the total.
How to Calculate Cylinder Volume
Measure straight across one round end and divide by two to get the Base radius, then measure the vertical Height between the two circular faces. Enter both values, set the unit system with the Metric option, and press the Calculate Volume button.
Keep units consistent throughout, and remember what the result means: one cubic decimeter equals exactly one liter, so a metric tank converts to capacity almost as quickly as the answer appears. For tanks you cannot open, wrap a tape around the middle and divide the circumference by 6.28318 to recover the radius.
Frequently Asked Questions
What is the volume formula for a cylinder?
V = pi x r^2 x h. A cylinder with radius 2 and height 10 holds about 125.7 cubic units, which is the base circle area times the height.
How many liters fit in a cubic meter?
Exactly 1,000 liters. That means a cylindrical tank of 0.25 cubic meters stores about 250 liters of water when it is filled completely to the top.
Why does radius matter more than height?
Because the radius is squared in the formula. Doubling the radius quadruples the volume, while doubling the height only doubles it, so small radius changes carry big consequences.
Should I enter diameter instead of radius?
No, divide the diameter by two first. Entering a measured width of 6 as the radius instead of 3 overstates the volume by a factor of four.
Does a tilted cylinder change its volume?
Not at all. Tilting changes the orientation but not the base area or the perpendicular height, so the volume stays exactly the same as when upright.