Section 7.4 – Surface Area and Volume of Cylinders

Cylinder – a solid consisting of a circular region and its translated image on a parallel plane, with a lateral surface connecting the circles.

altitude – a segment that has endpoints in the planes containing the bases and is perpendicular to both planes

height – the length of the altitude

right cylinder – a cylinder whose height is perpendicular to the bases

oblique cylinder – a cylinder that is not right

Surface Area of a cylinder may be broken down into 2 parts: Base Area and Lateral Area

Surface Area and Volume Formulas

Right Cylinder:

where B is the Base Area, P is the Perimeter of the base, and h is the height.