Unit 6 lesson 9 surface area of cylinders

Answer 1

To find the surface area of a cylinder, we can use the formula:

Surface Area = 2πrh + 2πr^2

Where:
- r is the radius of the cylinder
- h is the height of the cylinder

Let's work through an example:

Example:
A cylinder has a radius of 5 cm and a height of 10 cm. Find the surface area of the cylinder.

Solution:
First, we need to find the values of r and h:
r = 5 cm
h = 10 cm

Now, we can plug these values into the formula:

Surface Area = 2π(5)(10) + 2π(5)^2
Surface Area = 2π(50) + 2π(25)
Surface Area = 100π + 50π
Surface Area = 150π

Therefore, the surface area of the cylinder is 150π square centimeters.