A cube of maximum volume each corner touching the surface from inside is cut from a sphere What is t...........

Quantitative Aptitude (CDS) Mensuration 2D

A cube of maximum volume (each corner touching the surface from inside) is cut from a sphere. What is the ratio of the volume of the cube to that of the sphere?

3: 4 $\pi$

$\sqrt{3}: 2 \pi$

$2:\sqrt{3}\pi$

$4:3\pi$

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Explanation:

For cube to be of maximum volume,

Diagonal of cube = Diameter of sphere √3a = 2r

r = √3a/2

According to question, Volume of Cube / Volume of sphere = a³/(4/3 πr³ ) Putting the value of r; = a³/ (4/3 π(√3a/2)³)

On solving this ratio, we get 2/√ 3π or 2:√ 3π

By: Munesh Kumari

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A cube of maximum volume each corner touching the surface from inside is cut from a sphere What is t...........

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Explanation:

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