Multiple choice

The curved surface area of a hemisphere of diameter 2 r is

  1. $\displaystyle 2\pi r^{2}$
  2. $\displaystyle 3\pi r^{2}$
  3. $\displaystyle 4\pi r^{2}$
  4. $\displaystyle 8\pi r^{2}$
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A Correct answer
Explanation

The curved surface area of a sphere is 4 * pi * r^2. A hemisphere is half of a sphere, so its curved surface area is 2 * pi * r^2.

AI explanation

The formula for the curved surface area of a hemisphere is half the surface area of a sphere, which is 2*pi*r^2. Given the diameter is 2r, the radius is r. Substituting the radius r into the formula gives an area of 2*pi*r^2. The result is 2*pi*r^2.

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