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Surface Areas and Volumes
RD Sharma
CBSE
Grade 10

Question:

If the diameter of a sphere is $6\text{ cm}$, its volume is:
(a) $36 \pi\text{ cm}^3$
(b) $288 \pi\text{ cm}^3$
(c) $72 \pi\text{ cm}^3$
(d) $18 \pi\text{ cm}^3$

Step-by-Step Solution

Key Concept: $r = 3\text{ cm} \Rightarrow V = \dfrac{4}{3} \pi (3)^3 = 36 \pi\text{ cm}^3$.
$V = \dfrac{4}{3} \pi \times 27 = 36 \pi\text{ cm}^3$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Calculating volume $= 36\pi\text{ cm}^3$: 1.0 Mark

Correct Answer: $36 \pi\text{ cm}^3$
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