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# The total surface area of solid hemisphere of diameter 2 cm is equal to${\text{A}}{\text{. }}12{\text{ c}}{{\text{m}}^2} \\ {\text{B}}{\text{. }}12\pi {\text{ c}}{{\text{m}}^2} \\ {\text{C}}{\text{. 4}}\pi {\text{ c}}{{\text{m}}^2} \\ {\text{D}}{\text{. 3}}\pi {\text{ c}}{{\text{m}}^2} \\$

Last updated date: 18th Mar 2023
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Hint – Total surface area of the solid hemisphere is given as$3\pi {r^2}$, so use this formula to reach the answer, where symbols have their usual meaning.
It is given that the diameter of the hemisphere $= 2{\text{ cm}}$
Therefore radius (r) of the hemisphere $= \dfrac{{{\text{Diameter}}}}{2} = \dfrac{2}{2} = 1{\text{ cm}}$
Now as we know that the total surface area (S.A) of the solid hemisphere $= 3\pi {r^2}$, where r is the radius of the hemisphere.
$\Rightarrow S.A = 3\pi {r^2} = 3\pi {\left( 1 \right)^2} = 3\pi$.