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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 1 · Set 1 · Q2
A solid metallic sphere of radius 10 · 5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm and height 3 cm. Find the…
A solid metallic sphere of radius $\displaystyle 10 \cdot 5$ cm is melted and recast into a number of smaller cones, each of radius $\displaystyle 3.5$ cm and height $\displaystyle 3$ cm. Find the number of cones so formed.
Marking-scheme solution
\[\begin{aligned}
& n \times \frac{1}{3} \cdot \pi \cdot(3 \cdot 5)^{2}(3)=\frac{4}{3} \pi(10 \cdot 5)^{3} \\
& \Rightarrow n=126
\end{aligned}
\]
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CBSE Class 10 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.