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The total surface area of a solid hemisphere of radius $r$ is given by

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2 π r^{2}

π r^{2}

3 π r^{2}

4 π r^{2}

answer is C.

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Detailed Solution

Here, we have to find the total surface area of a solid hemisphere of radius

r .

Surface Area and Volume Formulas - Sphere, Hemisphere, Cone ...

We know that the curved surface area of hollow hemisphere

= 2 π r^{2}

.
Also, the area of a circular base of radius

r

r^{2}

.
Total surface area of solid hemisphere

2 π r^{2} + π r^{2} = 3 π r^{2}

.
Therefore, the total surface area of a solid hemisphere of radius

r

3 π r^{2}

.
Hence option (3) is correct.

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