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In an attempt to improve brand recognition, the marketing department of AC Sports is

creating conical paper water cups with their brand printed around the surface of the
cup. The cups will be sent to athletic departments for free. About how much space do
the graphic artists working on the design have to work with if the cup will have a
diameter of 2.5 inches and a height of 3.5 inches?

1 Answer

5 votes

Answer:

about 37.31 inches of space

Explanation:

In this case, you would need to find the area of a cylinder with these dimensions.

Formula: 2πrh+2πr²

The r is the radius, and since the diameter in this situation would be 2.5, the radius would be 1.25.

2π(1.25)(3.5)+2π(1.25)²

2π4.375+2π1.5625

8.75π+3.125π

37.3064128

about 37.31 inches of space

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