Multiple choice

Find the surface area of a cylinder with the following dimension: Height $= 10$ ft. Radius $= 2$ ft.

  1. $\displaystyle 82\pi { ft }^{ 2 }$
  2. $\displaystyle 78\pi { ft }^{ 2 }$
  3. $\displaystyle 48\pi { ft }^{ 2 }$
  4. $\displaystyle 81\pi { ft }^{ 2 }$
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C Correct answer
Explanation

The surface area of a cylinder is calculated using the formula 2*pi*r*(r + h). Substituting the given values, 2*pi*2*(2 + 10) = 4*pi*12 = 48*pi.

AI explanation

Using the total surface area formula for a cylinder, 2 pi r (r + h), substitute the radius of 2 ft and height of 10 ft. This gives 2 times pi times 2 times (2 + 10), which simplifies to 4 pi times 12. The surface area is 48 pi square ft.

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