A cylinder has diameter 16 inches and height 20 inches. A label covers the lateral surface area (the side) only. What is the area of the label?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Prepare for the Certify Teacher EC-6 (391) Mathematics Exam. Utilize multiple choice questions, flashcards, and explanations to excel in your assessment. Gear up for success!

Multiple Choice

A cylinder has diameter 16 inches and height 20 inches. A label covers the lateral surface area (the side) only. What is the area of the label?

Explanation:
When a label covers the side of a cylinder, its area is the lateral surface area, found by circumference times height. The radius is half the diameter, so r = 8 inches. The circumference is 2πr = 2π(8) = 16π inches. Multiply by the height, 20 inches, to get 16π × 20 = 320π square inches. The top and bottom circles aren’t included because the label sits only on the side. So the area is 320π square inches, which matches the given option.

When a label covers the side of a cylinder, its area is the lateral surface area, found by circumference times height. The radius is half the diameter, so r = 8 inches. The circumference is 2πr = 2π(8) = 16π inches. Multiply by the height, 20 inches, to get 16π × 20 = 320π square inches. The top and bottom circles aren’t included because the label sits only on the side. So the area is 320π square inches, which matches the given option.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy