Area of Geometric Shapes Calculator
Calculate the area and perimeter of geometric shapes online: square, rectangle, triangle, circle, trapezoid, rhombus, regular hexagon and ellipse.
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Cylinder Volume Calculator
Enter the base radius and the height of the cylinder, and the calculator returns its volume in cubic centimetres and litres, plus the total surface area. The formula works for any dimensions given in the same unit.
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How we calculate cylinder volume
Volume: V = pi * r^2 * h. Volume in litres: V / 1000. Total surface area: P = 2*pi*r*(r+h), the sum of both base areas and the lateral surface.
Example: radius=5 cm, height=10 cm
For a cylinder with radius 5 cm and height 10 cm: V = pi * 5^2 * 10 = 785.40 cm3, about 0.79 litres. Total surface area = 2*pi*5*(5+10) = 471.24 cm2.
Frequently asked questions
How do I calculate the volume of a cylinder?
Cylinder volume uses the formula V = pi * r^2 * h, where r is the base radius and h is the height. Square the radius, multiply by pi and by the height. The result is in cubic units, for example cm3.
What are the radius and the height of a cylinder?
The radius is the distance from the centre of the circular base to its edge, equal to half the diameter. The height is the distance between the two bases, measured perpendicularly. Both must be in the same unit.
How do I convert cubic centimetres to litres?
One litre equals 1000 cm3, so divide the volume in cm3 by 1000. For example 785.4 cm3 is 0.7854 litres. The calculator reports volume in both cm3 and litres, which helps estimate tank capacity.
How does volume differ from surface area?
Volume tells how much space the solid fills, in cubic units. Surface area is the sum of both base areas and the lateral surface, in square units: P = 2*pi*r*(r+h). Use volume for capacity, area for material coverage.
How do I calculate total surface area of a cylinder?
Total surface area is P = 2*pi*r^2 + 2*pi*r*h, or more briefly P = 2*pi*r*(r+h). The first term is the area of the two bases, the second is the lateral surface. The result is in square units.
What happens if I double the radius?
The radius appears squared, so doubling it increases the volume fourfold, not twofold. A cylinder of radius 4 cm has four times the volume of one with radius 2 cm at the same height.
What happens if I double the height?
Height appears to the first power, so volume grows in direct proportion. Doubling the height doubles the volume, tripling it triples it. This is a linear relationship, unlike the quadratic one with the radius.
What value of pi does the calculator use?
It uses the built-in constant pi (about 3.141592653589793), so the result is precise and does not depend on rounding pi to 3.14. The displayed result is rounded to two decimal places.
Can I use other units, such as metres?
Yes, the formula is unit-independent if radius and height share the same unit. With metres the volume comes out in cubic metres (1 m3 = 1000 litres). Fields default to centimetres, so interpret the result accordingly.
Is this calculator suitable for engineering?
It works well for schoolwork and estimating the capacity of tanks, pipes or cans. It is educational and informational. For precise engineering account for wall thickness, tolerances and deviations from an ideal cylinder.
The result is informational and assumes an ideal right circular cylinder. In practice account for wall thickness and manufacturing tolerances.