Multiple choice

David built a recycling cylindrical bin that is 12 feet long and its base is 56 feet radius. Find the surface area of the bin.

  1. $\displaystyle 23936{\  ft }^{ 3 }$
  2. $\displaystyle 23936{\  ft }^{ 2 }$
  3. $\displaystyle 23950{ \ ft }^{ 2 }$
  4. $\displaystyle 23936\ ft$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The surface area of a cylinder is 2 * pi * r * h + 2 * pi * r^2. Given h = 12 and r = 56, the area is 2 * pi * 56 * 12 + 2 * pi * 56^2. This equals 1344 * pi + 6272 * pi = 7616 * pi. Using pi approx 3.14159, 7616 * 3.14159 is approx 23926. The option 23936 is the closest value.

AI explanation

Applying the total surface area formula for a cylinder, 2 * pi * r * (r + h), with a radius of 56 feet and a height of 12 feet gives 2 * (22/7) * 56 * (56 + 12). Multiplying these values results in a total surface area of 23936 square feet.

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