Cylinder Volume and Surface Area Calculator
The volume of a cylinder is π × r² × h and its total surface area is 2πr × (r + h), where r is the base radius and h is the height. Thanks to our free Cylinder Volume and Surface Area Calculator you can work out both the moment you enter the dimensions, in the unit of your choice.
Cylinder Volume and Surface Area Calculator
Useful information about using the Cylinder Volume and Surface Calculator
1. How to calculate the cylinder volume?
To calculate the volume of a circular cylinder you need the radius of the base of the cylinder (r) and the height of the periphery of the cylinder (h). If you only have the diameter of the cylinder base than you can get the length of the radius by dividing the diameter by 2. Use the following formula to calculate the cylinder volume, which is the same as the one used by the Cylinder Volume Calculator:
Cylinder Volume calculation formula = π*r2*h
The π (pi) used in the formula is the quotient of the circumference and the diameter of the circle, which is a constant and is equal to 10 decimal places: 3.1415926535
2. How to calculate the cylinder surface area?
You need the radius of the base of the cylinder (r) and the height of the periphery of the cylinder (h) to calculate the surface area of the circular cylinder. (The radius of the base diameter is obtained by dividing the diameter by two). To calculate the surface of a cylinder, use the following formula, which is the same as the one used by the Calculator of Surface Area
Formula for calculating the Surface Area of the Cylinder = 2*π*r*h+2*π*r2 or you can use this simplified formula= 2*π*r(r+h)
3. How do the Cylinder Volume and Surface Calculator calculate?
The calculator uses the formulas described in the previous sections to calculate the cylinder volume and surface area. When you enter data into the calculator, you can also specify the unit of measurement of the data.
Frequently asked questions
How do you calculate the volume of a cylinder?
Multiply the area of the circular base (π × r²) by the height. For a cylinder with radius 3 and height 10, the volume is π × 9 × 10 ≈ 282.7.
How do you calculate the surface area of a cylinder?
Add the two circular ends and the curved side: 2πr² + 2πrh, which simplifies to 2πr(r + h).
What is the difference between volume and surface area?
Volume measures how much space a cylinder holds, in cubic units, while surface area measures the total area of its outside, in square units.
What units does the cylinder calculator use?
You can enter the radius and height in any unit. Volume comes out in cubic units and surface area in square units of the same measurement.
How do I find the radius from the diameter?
The radius is half the diameter. If the diameter is 10, the radius is 5.