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Mathematics · 2026 · 2 marks
CBSE 2026 · Region 3 · Set 2 · Q25
1000 small thermocol balls of radius 0•5 cm are kept in a spherical balloon of radius 20 cm. Find the volume of air in the balloon.
$\displaystyle 1000$ small thermocol balls of radius $\displaystyle 0$•$\displaystyle 5$ cm are kept in a spherical balloon of radius $\displaystyle 20$ cm . Find the volume of air in the balloon.
Marking-scheme solution
Volume of air in the ballon = Volume of spherical balloon - Volume of $\displaystyle 1000$ thermocol balls
\[\begin{aligned}
& =\frac{4}{3} \times \frac{22}{7} \times(20)^{3}-1000 \times \frac{4}{3} \times \frac{22}{7} \times(0.5)^{3} \\
& =33000 \mathrm{~cm}^{3}
\end{aligned}
\]
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