Question

A deli is trying out new labels for their cylindrical-shaped wheels of cheese. The label covers the entire wheel except the circular top and bottom.

If the wheel has a radius of 22 centimeters and a height of 16 centimeters, how many square centimeters of the wheel does the label cover? (Approximate using pi equals 22 over 7)

A. 15,488 over 7 square centimeters
B. 36,784 over 7 square centimeters
C. 1,936 over 7 square centimeters
D. 340,736 over 7 square centimeters

Answer 1

Answer: The real answer is 15,488 over 7 square centimeters.

Explanation:

For this question, you need to use the formula for surface area of a cylinder: SA = 2πr^2 + 2πrh

Since the label DOES NOT cover the bases, you do not need to do the first part of the formula (2πr^2) because that part is finding the area of the bases. We are only looking for how many square centimeters the label IS covering.

2πrh

So times the radius by 2.

22 * 2 = 44

Now times 44 by the height

44 * 16 = 704

And finally, times 704 by 22/7

22/7 * 704 = 15,488 over 7 square centimeters

So 15,488 over 7 square centimeters is the answer.

You might get it in decimal form (something like this number 2,212.5714285) but if you divide 15,488 by 7 you will get the same decimal.

Also, I did the same test and got 100% so I know the right answer

I have a photo of the question from my test:

Have a good day :)