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Surface Areas and Volumes
RD Sharma
CBSE
Grade 10

Question:

The ratio of the total surface area of a sphere to the total surface area of a hemisphere of same radius is:
(a) $4 : 3$
(b) $2 : 1$
(c) $3 : 2$
(d) $4 : 1$

Step-by-Step Solution

Key Concept: TSA of sphere $= 4 \pi r^2$. TSA of hemisphere $= 3 \pi r^2$. Ratio $= 4 : 3$.
Ratio $= \dfrac{4\pi r^2}{3\pi r^2} = \dfrac{4}{3} \Rightarrow 4 : 3$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating ratio $= 4 : 3$: 1.0 Mark

Correct Answer: $4 : 3$
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