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Surface Areas and Volumes
RD Sharma
CBSE
Grade 10

Question:

If the height of a right circular cone is $12\text{ cm}$ and its slant height is $13\text{ cm}$, then its radius is:
(a) $5\text{ cm}$
(b) $6\text{ cm}$
(c) $7\text{ cm}$
(d) $25\text{ cm}$

Step-by-Step Solution

Key Concept: $r = \sqrt{13^2 - 12^2} = \sqrt{169 - 144} = 5\text{ cm}$.
$r = \sqrt{169 - 144} = 5\text{ cm}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Calculating radius $= 5\text{ cm}$: 1.0 Mark

Correct Answer: $5\text{ cm}$
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