The total surface of a solid hemisphere having radius r is:

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3 π r^{2}

4 π r^{2}

2 π r^{2}

5 π r^{2}

answer is A.

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Detailed Solution

We have to find the total surface area of solid hemisphere.
Surface area of a hemisphere is half the surface area of a sphere.
So, curved surface area of hollow hemisphere is

2 π r^{2}

.
Here, r is the radius.
The area of a circular base of radius r is

π r^{2}

Total surface area of solid hemisphere

= 2 π r^{2} + π r^{2}

\Rightarrow 3 π r^{2}

Thus, the total surface area of a hemisphere is

3 π r^{2}

.
Therefore, option 1 is correct.

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