Multiple choice

A cylindrical drum has its height 20 inches and curved surface area as $\displaystyle 200{ in }^{ 2 }$. Find surface area of cylindrical drum.($\displaystyle \pi ={ 22 }/{ 7 }$)

  1. $\displaystyle 203.5{ in }^{ 2 }$
  2. $\displaystyle 207.3{ in }^{ 2 }$
  3. $\displaystyle 215.7{ in }^{ 2 }$
  4. $\displaystyle 218.13$
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C Correct answer
AI explanation

Using the curved surface area formula, 2 * pi * r * h = 200, we find the radius: 2 * (22/7) * r * 20 = 200, which gives r = 5/22 inches. Then, use the total surface area formula, 2 * pi * r * (r + h), to calculate 2 * (22/7) * (5/22) * ((5/22) + 20), which equals 215.7 square inches.

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