Calculator Use

Surface Area and Volume of Circular Cylinder Calculator is a free online tool that displays the Surface Area and Volume of a Circular Cylinder. This online Surface Area and Volume of Circular Cylinder Calculator tool performs the calculation faster, and it displays the result in a fraction of seconds.

The procedure to use the Surface Area and Volume of Circular Cylinder Calculator is as follows:

Step 1: Enter a values in the input field

Step 2: Now click the "What is this value" button to get the result

Step 3: Finally, The Surface Area and Volume of a Circular Cylinder will be displayed in the output field

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.

These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis.

The perpendicular distance between the bases is the height, “h” and the distance from the axis to the outer surface is the radius “r” of the cylinder.

Cylinder is one of the basic 3d shapes, in geometry, which has two parallel circular bases at a distance.

The two circular bases are joined by a curved surface, at a fixed distance from the center.

The line segment joining the center of two circular bases is the axis of the cylinder. The distance between the two circular bases is called the height of the cylinder.

The top view of the cylinder looks like a circle and the side view of the cylinder looks like a rectangle.

Unlike cones, cube and cuboid, a cylinder does not have any vertices, since the cylinder has a curved shape and no straight lines. It has two circular faces.

What is the Formulas for calculating the surface area and volume of a cylinder?

Given the radius r and height h of a cylinder calculate the lateral surface area L, top and bottom surface area T and B , total surface area A and volume V (Given r, h calculate L, T, B, A, V)

Lateral surface area of a cylinder (just the curved outside):

L = 2 π r h

Top and bottom surface area of a cylinder (2 circles):

T = B = π r²

Total surface area of a closed cylinder is:

A = L + T + B = 2 π r h + 2(π r²) = 2 π r (h+r)

Volume of a cylinder:

V = π r² h

Given the radius r and lateral surface area L of a cylinder calculate the height h, top and bottom surface area T and B , total surface area A and volume V (Given r, L calculate h, T, B, A, V)

Height of a cylinder

h = L/(2 π r)

Top and bottom surface area of a cylinder (2 circles):

T = B = π r²

Total surface area of a closed cylinder is:

A = L + T + B = 2 π r² + L

Volume of a cylinder:

V = π r² h = π r² L/(2 π r) = r L / 2

Given height h and lateral surface area L calculate the radius r, top and bottom surface area T and B , total surface area A and volume V (Given h, L calculate r, T, B, A, V)

Radius of a cylinder

r = L/(2 π h)

Top and bottom surface area of a cylinder (2 circles):

T = B = π r² = π (L/(2 π h))² = (π L²) / (4 π h²)

Total surface area of a closed cylinder is:

A = L + T + B = L + (π L²) / (2 π h²)

Volume of a cylinder:

V = π (L/(2 π h))² h = π L² / (4 h)

Given the radius r and volume V of a cylinder calculate the height h, lateral surface area L, top and bottom surface area T and B , total surface area A and(Given r, V calculate h, L, T, B, A)

Height of a cylinder

h = V/(π r²)

Lateral surface area of a cylinder (just the curved outside):

L = 2 π r h = 2 π r V/(π r²) = 2 V / r

Top and bottom surface area of a cylinder (2 circles):

T = B = π r²

Total surface area of a closed cylinder is:

A = L + T + B = 2 V / r + 2 π r²

Given the height h and volume V of a cylinder calculate the radius r, lateral surface area L, top and bottom surface area T and B , total surface area A(Given h, V calculate h, L, T, B, A)

Radius of a cylinder

r = √(V / (πh))

Lateral surface area of a cylinder (just the curved outside):

L = 2 π r h = 2 π √(V / (πh)) h = 2 √(π V h)

Top and bottom surface area of a cylinder (2 circles):

T = B = π r² = π (√(V / (πh)))² = V/h

Total surface area of a closed cylinder is:

A = L + T + B = 2 √(π V h) + 2V/h

What are the Properties of a Cylinder Shape?

The bases are always congruent and parallel.

If the axis forms a right angle with the bases, which are exactly over each other, then it is called a “Right Cylinder”.

It is similar to the prism since it has the same cross-section everywhere.

If the bases are not exactly over each other but sideways, and the axis does not produce the right angle to the bases, then it is called “Oblique Cylinder”.

If the bases are circular in shape, then it is called a right circular cylinder.

If the bases are in an elliptical shape, then it is called an “Elliptical Cylinder”.