# Surface Area and Volume of Cylinders.

### All these types of problems are solved in the examples of this lesson. You will be given the proof for finding the surface area, and the formula for the volume by itself; then you will view examples that range from direct substitution to under the surface questions (Questions that required several steps). You will be in excellent math shape after this lesson! If you try the suggested problems; you will be able to solve them with your stylus and taking advantage of the marker tools menu.

Lesson's Content

Lesson In PDF Format (no animations)

Lesson's Glossary

Base of a conic solid
The planar region that forms the widest point of a conic solid; often labeled as the 'bottom' of the conic solid, it determines the exact shape of the conic solid.

Conic solid
The set of points between a point (the vertex) and a non-coplanar region (the base), including the point and the region.

Cylinder
The surface of a cylindrical solid whose base is a circle.

Cylindrical surface
The union of the bases and the lateral surface.

Diameter of a circle (or sphere)
The segment whose endpoints are points on a circle (or sphere) that contains the center of the circle as its midpoint; the length of that segment.

L.A.
Lateral area.

Lateral area
The area of the lateral surface of a solid.

Lateral surface
The surface not included in the base (s).

Oblique prism or cylinder
A non-right prism or cylinder.

Solid
The union of the surface and the region of space enclosed by a 3-D figure; examples: conic solid, cylindrical solid, rectangular solid.

Solid geometry
The study of figures in three-dimensional space.

Space
The set of all possible points; made up of infinite planes.

Surface
The boundary of a 3-D figure.

Surface area
The total area of the surface of a solid.

Unit cube
Unit of measuring volume.

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