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Multiple Choice Questions

What is the volume of a cone of maximum volume cut out from a cube of edge 2a such that their bases ...........

Quantitative Aptitude (CDS) Mensuration 3D

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What is the volume of a cone of maximum volume cut out from a cube of edge 2a such that their bases are on the same plane?

$\pi a^{2}$

$\pi a^{3}/3$

$2\pi a^{3} /3$

$3\pi a^{3} /4$

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Explanation:

Edge of cube = 2a

So, height of cone = 2a

Radius of cone = a (for maximum volume)

Volume of cone = 1/3 π a² *2a = 2 πa³/3

By: Munesh Kumari

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