If three metallic spheres of radii 6 cm 8 cm and 10 cm are melted to form a single sphere then the d...........

Quantitative Aptitude (CDS) Mensuration 3D

If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, then the diameter of the new sphere will be

12 cm

24 cm

30 cm

36 cm

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Explanation:

Let the radius of the new sphere be r cm
$\frac{4}{3}\pi r^{3}=\frac{4}{3}\pi\times 6^{3} +\frac{4}{3}\pi \times8^{3}+\frac{4}{3}\pi \times10^{3}$
=> r³ = 216 +512 +1000 =1728
=123
⇒r=12cm
Therefore, diameter of the new sphere =2×12=24cm

By: Munesh Kumari

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If three metallic spheres of radii 6 cm 8 cm and 10 cm are melted to form a single sphere then the d...........

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