Find the surface area of the cylinder below. Use the approximation 3.14 for pi.

Question

Radius: 5cm
Height: 15cm

1. 1,099 square centimeters
2. 628 square centimeters
3. 533.8 square centimeters
4. 628 centimeters

Answer 1

To find the surface area of a cylinder, we need to find the sum of the areas of the two bases and the lateral surface area.

The formula for the surface area of a cylinder is:

Surface Area = 2πr^2 + 2πrh

Given:
Radius (r) = 5cm
Height (h) = 15cm

First, let's calculate the area of one base (the top or the bottom of the cylinder):

Area of a circle = πr^2

Using the given radius of 5cm, we can calculate the area of one base:

Area of one base = π(5cm)^2 = 25π cm^2

Now, let's calculate the lateral surface area (the area of the curved side of the cylinder):

Lateral Surface Area = 2πrh

Using the given radius and height, we can calculate the lateral surface area:

Lateral Surface Area = 2π(5cm)(15cm) = 150π cm^2

Now, let's find the sum of the areas of the two bases and the lateral surface area:

Surface Area = 2(25π) + 150π = 50π + 150π = 200π cm^2

Using the approximation 3.14 for π, we can calculate the surface area:

Surface Area ≈ 200(3.14) = 628 cm^2

Therefore, the surface area of the cylinder is approximately 628 square centimeters.

The correct option is: 2. 628 square centimeters