🔵 CYLINDER | Geometry Made Simple 🔵

Описание: Hello everyone! 👋
In this lesson, we study one of the important three-dimensional geometric shapes — the cylinder.

You will learn what a cylinder is and how it is formed by rotating a rectangle around one of its sides. We carefully go through all the key elements of a cylinder, including:

bases and radius,

axis of the cylinder,

generator (which is equal to the height),

axial cross-section.

In this video, I explain and derive the main formulas:

Volume of a cylinder:

𝑉
=
𝜋
𝑟
2
ℎ
V=πr
2
h

Lateral surface area of a cylinder:

𝑆
𝑙
𝑎
𝑡
=
2
𝜋
𝑟
ℎ
S
lat
​

=2πrh

Total surface area of a cylinder

You will also see detailed solutions to several problems, including:

finding the lateral surface area using diameter and height,

calculating volume from base area and height,

working with axial sections, midlines, and geometric properties,

solving advanced problems involving square axial sections.

This lesson is perfect for students studying geometry, preparing for exams, or anyone who wants a clear and logical explanation of cylinders with step-by-step problem solving.

If something feels difficult — don’t worry! Just rewatch the video slowly.
Never give up, and understanding will come 💪

Thank you for watching!
Subscribe to the channel, leave a like 👍, and keep learning. Bye! 👋

Helpful resources to learn more about cylinders (US educational websites):

🔗 Khan Academy – Cylinder basics and formulas
https://www.khanacademy.org/math/geom...

🔗 Math Is Fun – Clear explanations with visuals
https://www.mathsisfun.com/geometry/c...

🔗 CK-12 Foundation – Geometry lessons and practice
https://www.ck12.org/geometry/cylinders/

🔗 Purplemath – Geometry concepts explained step by step
https://www.purplemath.com/modules/so...