Section 7.5 – Surface Area and Volume of Cones

Cone – a solid consisting of a circular base and curved a lateral surface that connects the base to a single point not in the plane of the base, called the vertex.

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

height – the length of the altitude

slant height – the length of the lateral surface

right cylinder – a cone whose height is perpendicular to the base

oblique cylinder – a cone that is not right

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

Surface Area and Volume Formulas

Right Cone:

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