Question

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

Radius - 5cm
Slant height - 15cm

(1 point)
Responses

628 centimeters
1,099 square centimeters
628 square centimeters
533.8 square centimeters

Answer 1

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

The formula for the surface area of a cylinder is:

Surface Area = 2πr^2 + 2πrh

Given:
Radius (r) = 5 cm
Slant height (h) = 15 cm
Approximation for pi (π) = 3.14

First, let's calculate the area of the two circular bases:

Area of a circular base = πr^2
Area of base 1 = 3.14 * (5 cm)^2 = 3.14 * 25 cm^2 = 78.5 cm^2
Area of base 2 = 3.14 * (5 cm)^2 = 3.14 * 25 cm^2 = 78.5 cm^2

Next, let's calculate the lateral surface area:

Lateral surface area = 2πrh
Lateral surface area = 2 * 3.14 * 5 cm * 15 cm = 471 cm^2

Now, let's add the areas together:

Surface Area = 2 * (Area of the bases) + Lateral surface area
Surface Area = 2 * (78.5 cm^2) + 471 cm^2
Surface Area = 157 cm^2 + 471 cm^2
Surface Area = 628 cm^2

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