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Cylinder

Drawing of an oblique cylinder
An oblique cylinder is a cylinder, where the two circular end planes are parallel to each other, but unlike the right circular cylinder the lateral surface (the curved surface) is not perpendicular to the end planes.

Area and volume of an oblique cylinder

Area and volume of an oblique cylinder

The volume of an oblique cylinder can be calculated in two ways.

If the length (a) of the lateral surface is given:

V=pi*r^2*a*sin(v)

If the cylinder’s height (h) is given:

V=pi*r^2*h

The area of the lateral surface of an oblique cylinder

If the length (a) of the lateral surface is given:

A=2*pi*r*a

If the cylinder’s height (h) is given:

A=frac{2*pi*r*h}{sin(v)}

Area of the entire surface of an oblique cylinder

First you calculate the area of the lateral surface with the formula above, and then you add the area of the two circular end planes calculated with the formula:

A=pi*r^2

Calculate area and volume of a oblique cylinder

Drawing of an oblique cylinder

Radius (r): 
The length of the curved surface (a): 
The cylinders height (h): 
The angle in degrees between the curved surface and the end planes (v): 
Pi: