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If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is

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4 π r^{2}

6 π r^{2}

3 π r^{2}

8 π r^{2}

answer is A.

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Detailed Solution

According to the question it is given that the two solid hemispheres of same base radius “r” are joined together along their bases.
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Curved surface area of a hemisphere

= 2 π r^{2} .

So, when two solids hemispheres of same base radius are joined together along their bases, then curved surface area of newly formed solid sphere

= 2 \times 2 π r^{2} = 4 π r^{2} .

Hence option (1) is correct.

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