The Curved Surface Area of a Cylinder

A cylinder is a three-dimensional geometrical shape that consists of two parallel circular bases connected by a curved surface. The curved surface area (CSA) of a cylinder refers to the total area of the curved surface excluding the circular bases. To calculate the curved surface area of a cylinder, you need to know the radius and height of the cylinder.

Given Information:
Radius = 3.5 cm
Height = 10 cm

Step 1: Calculate the Circumference of the Base
The circumference of a circle is given by the formula C = 2πr, where "C" represents the circumference and "r" represents the radius. In this case, the radius of the base is given as 3.5 cm. Therefore, the circumference of the base can be calculated as follows:
C = 2π(3.5)
C ≈ 2 × 3.14 × 3.5
C ≈ 21.98 cm

Step 2: Calculate the Curved Surface Area
The curved surface area of a cylinder is given by the formula CSA = 2πrh, where "CSA" represents the curved surface area, "r" represents the radius, and "h" represents the height. In this case, the radius is 3.5 cm and the height is 10 cm. Therefore, the curved surface area can be calculated as follows:
CSA = 2π(3.5)(10)
CSA ≈ 2 × 3.14 × 3.5 × 10
CSA ≈ 219.8 cm²

Step 3: Final Answer
The curved surface area of the cylinder is approximately 219.8 cm².

Therefore, the curved surface area of the given cylinder with a radius of 3.5 cm and height of 10 cm is approximately 219.8 cm².

220 cm²