Multiple choice

The volume of a cylinder is $616$ cubic feet and height $4$ feet. Find its curved surface area. (Use $\displaystyle \pi ={ 22 }/{ 7 }$)

  1. $\displaystyle 88{ ft }^{ 2 }$
  2. $\displaystyle 198{ ft }^{ 2 }$
  3. $\displaystyle 79{ ft }^{ 2 }$
  4. $\displaystyle 176{ ft }^{ 2 }$
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D Correct answer
Explanation

Volume = pi * r^2 * h = 616. (22/7) * r^2 * 4 = 616. r^2 = 616 * 7 / 88 = 49. r = 7. Curved surface area = 2 * pi * r * h = 2 * (22/7) * 7 * 4 = 176 sq ft.

AI explanation

First, use the cylinder volume formula, pi * r^2 * h, to find the radius: 616 = (22/7) * r^2 * 4, which gives r^2 = 49 and r = 7 feet. Then, apply the curved surface area formula, 2 * pi * r * h, to get 2 * (22/7) * 7 * 4, which equals 176 square feet.

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