Multiple choice

The curved surface area of a cylinder is $\displaystyle 188.4{ m }^{ 2 }$. The height is 12m. What is the radius? (use$\displaystyle \pi =3.14$).

  1. $\displaystyle 2{ cm }$
  2. $\displaystyle 2.5cm$
  3. $\displaystyle 2m$
  4. $\displaystyle 2.5m$
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D Correct answer
Explanation

Curved surface area of cylinder = 2 * pi * r * h = 188.4. Given h = 12 and pi = 3.14: 2 * 3.14 * r * 12 = 188.4. 75.36 * r = 188.4. r = 188.4 / 75.36 = 2.5m.

AI explanation

Using the curved surface area formula for a cylinder, 2*pi*r*h = 188.4. Substituting the given height h = 12 and pi = 3.14 gives 2 * 3.14 * r * 12 = 188.4, which simplifies to 75.36 * r = 188.4. Dividing 188.4 by 75.36 yields a radius of 2.5 m.

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