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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 2 · Set 1 · Q3
A solid piece of metal in the form of a cuboid of dimensions 11 cm × 7 cm × 7 cm is melted to form 'n' number of solid spheres of radii 7/2 cm each.…
A solid piece of metal in the form of a cuboid of dimensions $\displaystyle 11$ cm × $\displaystyle 7$ cm × $\displaystyle 7$ cm is melted to form 'n' number of solid spheres of radii $\displaystyle \frac{7}{2} \mathrm{~cm}$ each. Find the value of n.
Marking-scheme solution
\[\begin{array}{l}
n \times \frac{4}{3} \times \frac{22}{7} \times\left(\frac{7}{2}\right)^{3}=11 \times(7)^{2} \\
\Rightarrow n=3
\end{array}
\]
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