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Surface Areas and Volumes

NCERT Exemplar

CBSE

Grade 10

Question:

Total surface area of a solid hemisphere of radius $r$ is:
(a) $\pi r^2$
(b) $2\pi r^2$
(c) $3\pi r^2$
(d) $4\pi r^2$

Step-by-Step Solution

Key Concept: TSA of hemisphere $=$ CSA ($2\pi r^2$) $+$ base area ($\pi r^2$) $= 3\pi r^2$.

TSA $= 2\pi r^2 + \pi r^2 = 3\pi r^2$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Stating TSA $= 3\pi r^2$: 1.0 Mark

Correct Answer: $3\pi r^2$

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