Multiple choice

The surface area of a solid hemisphere is

  1. $\pi { r }^{ 2 }$
  2. $4\pi { r }^{ 2 }$
  3. $\dfrac { 4 }{ 3 } \pi { r }^{ 2 }$
  4. $3\pi { r }^{ 2 }$
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D Correct answer
Explanation

The total surface area of a solid hemisphere includes the curved surface (2*pi*r^2) and the flat circular base (pi*r^2), totaling 3*pi*r^2.

AI explanation

A solid hemisphere consists of a curved surface and a flat circular base. Its curved surface area is 2 * pi * r^2, and the area of its flat circular base is pi * r^2. Adding these two parts together gives a total surface area of 3 * pi * r^2.