Certify Teacher Math Practice Test 2025 – All-in-One Comprehensive Guide to Exam Success!

Question: 1 / 400

A popcorn company needs to print a label for a can with a diameter of 16 inches and a height of 20 inches. How much surface area does the label cover?

502.65 in²

1005.31 in²

To determine the surface area that the label covers on a cylindrical can, you'll want to calculate the lateral surface area of the cylinder. The formula for the lateral surface area \( A \) of a cylinder is given as:

\[

A = 2 \pi r h

\]

where \( r \) is the radius and \( h \) is the height of the cylinder.

First, since the diameter of the can is 16 inches, the radius \( r \) would be half of that:

\[

r = \frac{16}{2} = 8 \text{ inches}

\]

The height \( h \) is provided as 20 inches. Substituting these values into the formula gives:

\[

A = 2 \pi (8)(20)

\]

Calculating it step-by-step:

1. Multiply the radius by the height:

\( 8 \times 20 = 160 \).

2. Then multiply by \( 2\pi \):

\[

A = 2 \pi \times 160 = 320\pi

\]

3. To get a numerical value, use an approximation for \( \pi \) (around 3.14):

Get further explanation with Examzify DeepDiveBeta

402.12 in²

1200 in²

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