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Surface Areas and Volumes
RD Sharma
CBSE
Grade 10

Question:

If two solid hemispheres of same base radius $r$ are joined together along their bases, then curved surface area of this new solid is:
(a) $4 \pi r^2$
(b) $3 \pi r^2$
(c) $6 \pi r^2$
(d) $8 \pi r^2$

Step-by-Step Solution

Key Concept: Joining two identical hemispheres along bases forms a full sphere $\Rightarrow \text{Surface Area} = 4 \pi r^2$.
Two hemispheres joined along base form a full sphere $\Rightarrow 4\pi r^2$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating $4\pi r^2$: 1.0 Mark

Correct Answer: $4 \pi r^2$
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