OwlCalculator
OwlCalculator
  • Conversions
  • Health
  • finance Finance Calculator
  • Statistics
  • Combinatorics
  • Percentage Calculators
  • Arithmetic
  • math-curve Algebra
  • Geometry
  • Physics
  • Chemistry

Cylinder Area Calculator

Area

Area is a numerical characteristic of a two-dimensional (flat or curved) geometric figure, informally speaking, showing the size of this figure. Historically, the calculation of the area was called quadrature. A figure having an area is called quadratic. Find the area of more than 22 shapes (triangle, square, pentagon, etc.) using our amazing calculator.

Cylinder

A cylinder is a geometric body that is bounded by a cylindrical surface and 2 planes that are parallel and intersect.

Cylinder area

A cylinder is a three-dimensional shape with a circular base and a curved surface that extends up from the base to a flat top. To calculate the area of a cylinder, you'll need to use the formula that corresponds to the part of the cylinder you're measuring. The area of the base is given by the formula for the area of a circle, while the lateral surface area and the total surface area require different formulas.

Cylinder Area Formulas

Lateral Surface Area

The formula for the lateral surface area of a cylinder is:

S = 2\pi rh

where r is the radius of the circular base and h is the height of the cylinder. This formula gives you the surface area of the curved part of the cylinder. It comes from the fact that the lateral surface of a cylinder can be `unrolled` to form a rectangle with a length of the circumference of the base (2πr) and a height of the height of the cylinder (h).

Total Surface Area

The formula for the total surface area of a cylinder is:

S = 2\pi r(h+r)

This formula gives you the sum of the areas of the curved surface and the two circular bases of the cylinder. It comes from adding the area of the base to the lateral surface area.

Using the Cylinder Area Calculator

Our cylinder area calculator makes it easy to find the area of your cylinder. To use the calculator:

  1. Select the type of surface area you want to calculate (lateral surface area or total surface area) from the drop-down menu.
  2. Enter the radius of the base in the first box.
  3. Enter the height of the cylinder in the second box.
  4. Our calculator will automatically calculate the area of your cylinder.

Our calculator will give you the lateral, and the total surface area of your cylinder.

Example

For example, let's say you have a cylinder with a radius of 5 cm and a height of 10 cm. To find the area of the base, use the formula for the area of a circle:

\text{Area of Base} = \pi r^2 = \pi 5^2 = 25\pi cm

To find the lateral surface area, use the formula for the lateral surface area of a cylinder:

\ ext{Lateral Surface Area} = 2\pi r h = 2*5*10\pi = 100\pi cm

To find the total surface area, use the formula for the total surface area of a cylinder:

\ ext{Total Surface Area} = 2\pi r(h+r) = 2\pi 5 (10+5)= 150 \pi cm

Conclusion

Calculating the surface area of a cylinder is an important skill in geometry. Our cylinder area calculator and formulas make it easy to find the surface area of your cylinder. Try it out for yourself and see how easy it can be!

Follow Us

Tags

cylinder area cylinder area formula cylinder area calculator
  • Area
  • Volume
  • Perimeter
  • Side
  • Height
  • Diagonal
  • Radius
  • Median
  • Bisector
  • Angle
  • Theorems
  • Triangle area
  • Square Area
  • Rectangle Area
  • Circle Area
  • Rhombus Area
  • Parallelogram Area
  • Trapezoid Area Calculator
  • Ellipse Area
  • Annulus Area
  • Quadrilateral Area
  • Annulus Sector Area
  • Circle Sector Area
  • Circle Segment Area
  • Sphere area
  • Cube Area
  • Cylinder area
  • Pyramid area
  • Parallelepiped area
  • Cone area
  • Truncated cone area
  • Tetrahedron area
  • Regular polygon area
  • Sphere volume
  • Cube volume
  • Cylinder volume
  • Pyramid volume
  • Parallelepiped volume
  • Cone volume
  • Truncated cone volume
  • Tetrahedron volume
  • Prism volume
  • Octahedron volume
  • Truncated pyramid volume
  • Ellipsoid volume
  • Capsule volume
  • Hemisphere volume
  • Spherical segment volume
  • Triangle perimeter
  • Square perimeter
  • Rectangle perimeter
  • Circle perimeter
  • Rhombus perimeter
  • Parallelogram perimeter
  • Trapezoid perimeter
  • Ellipse perimeter
  • Annulus perimeter
  • Quadrilateral perimeter
  • Circle sector perimeter
  • Regular polygon perimeter
  • Triangle side calculator
  • Square side calculator
  • Rectangle side calculator
  • Rhombus side calculator
  • Parallelogram side calculator
  • Trapezoid side calculator
  • Cube side calculator
  • Parallelepiped side calculator
  • Pyramid side calculator
  • Tetrahedron side calculator
  • Triangle height calculator
  • Trapezoid height calculator
  • Parallelogram/Rhombus height calculator
  • Pyramid height calculator
  • Prism height calculator
  • Cylinder height calculator
  • Cone height calculator
  • Square diagonal calculator
  • Rectangle diagonal calculator
  • Rhombus diagonal calculator
  • Parallelogram diagonal calculator
  • Trapezoid diagonal calculator
  • Cube diagonal calculator
  • Parallelepiped diagonal calculator
  • Cylinder diagonal calculator
  • Circle radius calculator
  • Cylinder radius calculator
  • Sphere radius calculator
  • Triangle median calculator
  • Triangle bisector calculator
  • Parallelogram bisector calculator
  • Trapezoid bisector calculator
  • Triangle angles
  • Rhombus angles
  • Sine of angle
  • Cosine of angle
  • Tangent of angle
  • Cotangent of angle
  • Pythagorean theorem
  • Sinus theorem
  • Cosine theorem
  • Tangens theorem
  • Cotangent theorem
  • Tangent-Secant theorem

OwlCalculator

2019-2025

Information F.A.Q About Us Terms of Service Privacy Policy Contact Us
Follow Us

© Copyright by iForce Systems LLC