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What is the formula for the total surface area of the hemisphere?

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4 π r^{2}

3 π r^{2}

\frac{2}{3} π r^{2}

\frac{4}{3} π r^{2}

answer is B.

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Detailed Solution

Here, we have to find the formula for the total surface area of the hemisphere.
Consider

r to

be the radius of a hemisphere.
Total surface area of a hemisphere

=

flat surface area

+

curved surface area.
As we know that, the curved surface area of a hemisphere

= 2 π r^{2}

and flat surface area

= π r^{2}

Thus, total surface area of a hemisphere

= 2 π r^{2} + π r^{2} = 3 π r^{2}

.
Therefore, the total surface area of hemisphere is

3 π r^{2}

.
Hence, option (2) is correct.

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