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The diameter of the base of a cylindrical can is 5 inches.
The height of the can is 7.5 inches.
Determine the area of the LATERAL SIDE. Round your answer to the nearest tenth. (Use 3.14 for pi)

• 15.7
• 37.5
• 117.8
• 147.2



Answer :

whatisgreg

Answer:

117.75, or Option C.

Step-by-step explanation:

Lateral Surface Area Formula:

[tex]Area = 2\pi rh[/tex]

  • π = 3.14
  • r = radius of the base of the cylinder
  • h = height of the cylinder

Since we are given that the diameter is 5 inches, which converted to the radius is 2.5 (Diameter = 2 * Radius) and the height is 7.5 inches, we can insert that back into the formula, which gives us:

[tex]Area = 2\pi (2.5)(7.5)[/tex]

Then we simplify that to:

[tex]Area = 2\pi (18.75)[/tex]

If we also simplify π to be 3.14, and form out equation, which is:

[tex]Area = 2(3.14)(18.75)\\Area = 2(58.875)\\Area = 117.75[/tex]

Therefore, our final answer is 117.75, or Option C.

Hope this helped.

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