A = 2πrv + 2πr2

V = πr2v

A = Area

V = volume

r = radius = 1/2 d

d = diameter

h = height

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.

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

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