Cones, Cylinders, & Spheres Unit Test

Question

2 of 152 of 15 Items

Question
Use the image to answer the question.

An oblique cylinder is labeled with a height of 15 centimeters and radius 5 centimeters.

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

(1 point)
Responses

628 square centimeters
628 square centimeters

533.8 square centimeters
533.8 square centimeters

1,099 square centimeters
1,099 square centimeters

628 centimeters

Answer 1

To find the surface area of a cylinder, you need to calculate 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 that the height (h) is 15 centimeters and the radius (r) is 5 centimeters, we can substitute these values into the formula:

Surface Area = 2(3.14)(5^2) + 2(3.14)(5)(15)
Surface Area = 2(3.14)(25) + 2(3.14)(75)
Surface Area = 157 + 471
Surface Area = 628 square centimeters

Therefore, the correct answer is 628 square centimeters.