Multiple choice

The radius of a solid hemisphere is $2r$, then its total surface area will be :

  1. $12\pi r^2$
  2. $8\pi r^2$
  3. $6\pi r^2$
  4. $3\pi r^2$
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A Correct answer
Explanation

The total surface area of a solid hemisphere is given by the formula 3 * pi * R^2. Substituting R = 2r into the formula gives 3 * pi * (2r)^2 = 3 * pi * 4r^2 = 12 * pi * r^2.

AI explanation

The total surface area of a solid hemisphere is given by the formula 3 * pi * R^2, where R is the radius of the hemisphere. Substituting the given radius R = 2r into the formula yields 3 * pi * (2r)^2, which simplifies to 3 * pi * 4r^2. This calculates to 12 * pi * r^2.

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