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 $pi = \frac{22}{7}$)
$\frac{15,488}{7}$ square centimeters
$\frac{36,784}{7}$ square centimeters
$\frac{1936}{7}$ square centimeters
340,730 square centimeters

Explanation:

Step1: Recall lateral surface area formula

The lateral surface area of a cylinder is $A = 2\pi rh$, where $r$ is radius, $h$ is height.

Step2: Substitute given values

$r=22$ cm, $h=16$ cm, $\pi=\frac{22}{7}$
$A = 2 \times \frac{22}{7} \times 22 \times 16$

Step3: Calculate the product

First compute $2\times22\times22\times16 = 2\times22\times352 = 44\times352 = 15488$
So $A = \frac{15488}{7}$

Answer:

$\frac{15488}{7}$ square centimeters