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

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2 π r 2

4 π r 2

4 π r

8 π r 2

answer is B.

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Detailed Solution

Given that the radius of base is r.
The curved surface of a hemisphere

= 2 π r 2

Since the curved surface area of one hemisphere is

2 π r 2

then for two it will be,

= 2 π r 2 + 2 π r 2 = 4 π r 2

Thus the curved surface area of two joined hemispheres is

4 π r 2

.
Therefore the correct option is 2.

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