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Mr. Johnson is painting a room. He is using a paint roller. The radius of the roller is 2 inches and the length of the roller is 10 inches.



How many square inches will his roller cover in one complete rotation?



Use 3.14 for`\pi`. Round to the nearest hundredth, if needed.

Respuesta :

sqdancefan

Answer:

  125.6 in²

Step-by-step explanation:

You want to know the lateral area of a cylinder with radius 2 inches and height 10 inches.

Lateral area

The lateral area of a cylinder is given by ...

  LA = 2πrh

  LA = 2(3.14)(2 in)(10 in) = 125.6 in²

In one complete rotation, the roller will cover 125.6 square inches.

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