Topic Details (Notes format)

How to Calculate the Lateral Surface Area of a Cylinder

Subject: Mathematics

Book: Maths Mastery

The lateral surface area of a cylinder corresponds to the area around its curved side, excluding the circular top and bottom. The formula is Lateral Area = 2πrh, where r is the radius and h is the height. For example, if a cylindrical container has a radius of 5 cm and height of 10 cm, its lateral surface area is 2 × π × 5 × 10 = 100π cm². This concept frequently arises in tasks such as determining the paint needed for cylindrical tanks or the label area for bottles. Mastery of cylinder surface calculations supports more complex geometry and real-world design applications.

Practice Questions

What is the area of a circle with a diameter of 14 cm?

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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