Multiple choice

The curved surface area of a cylinder is $\displaystyle 113.04{ m }^{ 2 }$. The area of one of the bases is $\displaystyle 15.2{ m }^{ 2 }$. Find the height of the cylinder. (use $\displaystyle \pi =3.14$). And also find its surface area of a cylinder.

  1. $\displaystyle 141.21{ m }^{ 2 },2m$
  2. $\displaystyle 143.44{ m }^{ 2 },8m$
  3. $\displaystyle 143.23{ m }^{ 2 },7m$
  4. $\displaystyle 104.23{ m }^{ 2 },6m$
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B Correct answer
AI explanation

Using the base area formula pi*r^2 = 15.2 gives r^2 = 4.84, making the radius 2.2 m. Substituting this into the curved surface area formula 2*pi*r*h = 113.04 gives 2 * 3.14 * 2.2 * h = 113.04, which results in a height of about 8 m. The total surface area is the curved surface area plus the two base areas, calculated as 113.04 + 2(15.2) = 143.44 m^2.

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