Cylinder (circular flat) - area and volume
A = 2πrv + 2πr2
V = πr2v
A = Area
V = volume
r = radius = 1/2 d
d = diameter
h = height
WHAT IS IT ?
A cylinder (circular flat) is a three-dimensional geometric shape with two parallel circular bases connected by a curved surface. The properties of a cylinder include:
- Bases: Two parallel and congruent circles.
- Height (h): The perpendicular distance between the two bases.
- Radius (r): The distance from the center to the edge of the circular bases.
The surface area of a cylinder is composed of the area of the two bases and the lateral surface area, which is the area of the curved surface connecting the bases. The volume of a cylinder is the amount of space it encloses. Cylinders are commonly used in various applications in mathematics, engineering, architecture, and everyday objects such as cans, pipes, and tanks.
CALCULATION:
EXAMPLE:
The radius of the circular cylinder is, for example, 4 cm, and the height is 10 cm.
Thus,
r = 4,
h = 10
Surface area of the circular cylinder:
We use the formula
A = 2πrh
thus
A = 2 * 3.14 * 4 * 10
A = 251.2 cm²
Volume of the circular cylinder:
We use the formula
V = πr²h
thus
V = 3.14 * 4 * 4 * 10
V = 502.4 cm³
