How to Calculate the Surface Area of a Cylinder: Step-by-Step Guide and Example Calculation

Surface area of a Cylinder

To find the surface area of a cylinder, you need to consider the two circular bases and the curved surface in between

To find the surface area of a cylinder, you need to consider the two circular bases and the curved surface in between. The formula for the surface area of a cylinder is:

Surface Area = 2πr(r+h)

Where:
– r is the radius of the circular base
– h is the height of the cylinder

To calculate the surface area, you’ll need to know the values of r and h.

Here’s a step-by-step example to illustrate how to find the surface area of a cylinder:

Example:
Given a cylinder with a radius of 4 cm and a height of 10 cm, find its surface area.

Step 1: Identify the values
In this case, the radius (r) is 4 cm and the height (h) is 10 cm.

Step 2: Plug the values into the formula
Surface Area = 2πr(r+h)
= 2π(4)(4+10)
= 2π(4)(14)
= 8π(14)
= 112π

Step 3: Calculate the result
To get an exact value, let’s multiply the area by π (pi) which is approximately 3.14.
Surface Area = 112π
≈ 112×3.14
≈ 351.68 cm²

So, the surface area of the given cylinder is approximately 351.68 cm².

More Answers: