- A cylinder is a three-dimensional solid with two parallel circular bases connected by a curved face.
- A cylinder is analogous to a prism but with circular bases.
- The height of a right circular cylinder is the measure of the line segment joining the center of two bases.
- A cylinder's size depends on the base's radius and height.
- Area of the base:
- A cylinder's volume (capacity) is the amount of space it occupies in a three-dimensional plane.
- A cylinder's volume is measured in cubic units.
- If we know the area of the base and height of the right circular cylinder, its volume can be calculated using the formula mentioned below.
- If we know the radius of the base and height of the right circular cylinder, its volume can be calculated using the formula mentioned below.
- There are two types of surface areas associated with a right circular cylinder.
1. Lateral Area: It is the region occupied by the curved surface of the right circular cylinder.
, where radius of the base, and height
2. Total Area: It is the total area occupied by a right circular cylinder, including the area of the two bases.
, where area of the base
Question 1: Find the volume of a cylinder with a radius of 4 inches and a height of 6 inches.
Question 2: Find the total surface area of a cylinder with a radius of 5 cm and a height of 10 cm.
- Area of the base,
- Lateral Surface Area,
- Total Surface Area,
- The lateral surface area and curved surface are the same.
- Do not forget to multiply the area of the base (B) by two in the formula of the total surface area of a cylinder, i.e. .